Department of Mathematics

Shreeram S Abhyankar

Publications listed in MathSciNet

[1] Shreeram S. Abhyankar and Manish Kumar. Simultaneous surface resolution in quadratic and biquadratic Galois extensions. In Commutative algebra and algebraic geometry, volume 390 of Contemp. Math., pages 1-8. Amer. Math. Soc., Providence, RI, 2005.
[2] Shreeram S. Abhyankar, Nicholas F. J. Inglis, and Umud D. Yalcin. Supplementary thoughts on symplectic groups. In Progress in Galois theory, volume 12 of Dev. Math., pages 1-23. Springer, New York, 2005.
[3] Shreeram S. Abhyankar and Nicholas F. J. Inglis. Thoughts on symplectic groups and symplectic equations. In Algebra, arithmetic and geometry with applications (West Lafayette, IN, 2000), pages 63-126. Springer, Berlin, 2004.
[4] Shreedhar S. Abhyankar. Remembrances of Prof.Shreeram S. Abhyankar and ABC of singularities. In Algebra, arithmetic and geometry with applications (West Lafayette, IN, 2000), pages 49-61. Springer, Berlin, 2004.
[5] Chris Christensen and Ganapathy S. Sundaram. Preface to the proceedings. In Algebra, arithmetic and geometry with applications (West Lafayette, IN, 2000), pages 1-13. Springer, Berlin, 2004.
[6] C. Christensen, G. Sundaram, A. Sathaye, and C. Bajaj, editors. Algebra, arithmetic and geometry with applications. Springer-Verlag, Berlin, 2004. Papers from Shreeram S. Abhyankar's 70th birthday conference held at Purdue University, West Lafayette, IN, July 20-26, 2000.
[7] Shreeram S. Abhyankar. Musings in algebraic geometry with emphasis on Galois theory. Bull. Calcutta Math. Soc., 95(6):437-458, 2003.
[8] Shreeram S. Abhyankar. Galois theory of special trinomials. In Proceedings of the International Conference on Algebraic Geometry and Singularities (Spanish) (Sevilla, 2001), volume 19, pages 265-286, 2003.
[9] Shreeram S. Abhyankar. Resolution of singularities and modular Galois theory [ 1816069]. In Connected at infinity, volume 25 of Texts Read. Math., pages 173-211. Hindustan Book Agency, New Delhi, 2003.
[10] Shreeram S. Abhyankar. Historical ramblings in algebraic geometry and related algebra [mr0401754]. In Connected at infinity, volume 25 of Texts Read. Math., pages 133-172. Hindustan Book Agency, New Delhi, 2003.
[11] Shreeram S. Abhyankar, William J. Heinzer, and Avinash Sathaye. Translates of polynomials. In A tribute to C. S. Seshadri (Chennai, 2002), Trends Math., pages 51-124. Birkhäuser, Basel, 2003.
[12] Shreeram S. Abhyankar and Abdallah Assi. Jacobian pairs. In Topics in algebraic and noncommutative geometry (Luminy/Annapolis, MD, 2001), volume 324 of Contemp. Math., pages 9-49. Amer. Math. Soc., Providence, RI, 2003.
[13] S. S. Abhyankar. Geometry and Galois theory. In Advances in algebra and geometry (Hyderabad, 2001), pages 109-128. Hindustan Book Agency, New Delhi, 2003.
[14] Shreeram S. Abhyankar. Symplectic groups and permutation polynomials. I. In Algebra, arithmetic and geometry, Part I, II (Mumbai, 2000), volume 16 of Tata Inst. Fund. Res. Stud. Math., pages 1-96. Tata Inst. Fund. Res., Bombay, 2002.
[15] Shreeram S. Abhyankar. A perspective on algebraic geometry. Bull. Braz. Math. Soc. (N.S.), 33(2):177-199, 2002.
[16] Shreeram S. Abhyankar. Desingularization and modular Galois theory. In Arithmetic fundamental groups and noncommutative algebra (Berkeley, CA, 1999), volume 70 of Proc. Sympos. Pure Math., pages 409-448. Amer. Math. Soc., Providence, RI, 2002. With an appendix by David Harbater.
[17] Shreeram S. Abhyankar. Two step descent in modular Galois theory, theorems of Burnside and Cayley, and Hilbert's thirteenth problem. In Valuation theory and its applications, Vol. I (Saskatoon, SK, 1999), volume 32 of Fields Inst. Commun., pages 1-31. Amer. Math. Soc., Providence, RI, 2002.
[18] Shreeram S. Abhyankar. Three ways of measuring distance, three orbits, three subdegrees, or the great theorems of Cameron and Kantor. Notices Amer. Math. Soc., 49(7):759-769, 2002.
[19] Shreeram S. Abhyankar. Symplectic groups and permutation polynomials. II. Finite Fields Appl., 8(2):233-255, 2002.
[20] Shreeram S. Abhyankar and Pradipkumar H. Keskar. Descent principle in modular Galois theory. Proc. Indian Acad. Sci. Math. Sci., 111(2):139-149, 2001.
[21] Shreeram S. Abhyankar and Nicholas F. J. Inglis. Galois groups of some vectorial polynomials. Trans. Amer. Math. Soc., 353(7):2941-2869 (electronic), 2001.
[22] Shreeram Shankar Abhyankar. Local analytic geometry. World Scientific Publishing Co. Inc., River Edge, NJ, 2001. Reprint of the 1964 original.
[23] Shreeram S. Abhyankar. Resolution of singularities and modular Galois theory. Bull. Amer. Math. Soc. (N.S.), 38(2):131-169 (electronic), 2001.
[24] Shreeram S. Abhyankar and Ganapathy S. Sundaram. Galois groups of generalized iterates of generic vectorial polynomials. Finite Fields Appl., 7(1):92-109, 2001. Dedicated to Professor Chao Ko on the occasion of his 90th birthday.
[25] Shreeram S. Abhyankar. Attempts to use the power of modern group theory of finite simple groups for calculating Galois groups. Matematiche (Catania), 55(2):229-237 (2002), 2000. Dedicated to Silvio Greco on the occasion of his 60th birthday (Catania, 2001).
[26] Shreeram S. Abhyankar and Abdallah Assi. Factoring the Jacobian. In Singularities in algebraic and analytic geometry (San Antonio, TX, 1999), volume 266 of Contemp. Math., pages 1-10. Amer. Math. Soc., Providence, RI, 2000.
[27] Shreeram S. Abhyankar. Galois embeddings for linear groups. Trans. Amer. Math. Soc., 352(8):3881-3912, 2000.
[28] Shreeram S. Abhyankar, Stephen D. Cohen, and Michael E. Zieve. Bivariate factorizations connecting Dickson polynomials and Galois theory. Trans. Amer. Math. Soc., 352(6):2871-2887, 2000.
[29] Shreeram S. Abhyankar and Paul A. Loomis. Twice more nice equations for nice groups. In Applications of curves over finite fields (Seattle, WA, 1997), volume 245 of Contemp. Math., pages 63-76. Amer. Math. Soc., Providence, RI, 1999.
[30] Shreeram S. Abhyankar. Galois theory of semilinear transformations. In Aspects of Galois theory (Gainesville, FL, 1996), volume 256 of London Math. Soc. Lecture Note Ser., pages 1-37. Cambridge Univ. Press, Cambridge, 1999.
[31] Shreeram S. Abhyankar and Paul A. Loomis. Equations of similitude. Proc. Indian Acad. Sci. Math. Sci., 109(3):231-239, 1999.
[32] Shreeram S. Abhyankar and Abdallah Assi. Jacobian of meromorphic curves. Proc. Indian Acad. Sci. Math. Sci., 109(2):117-163, 1999.
[33] Shreeram S. Abhyankar. Semilinear transformations. Proc. Amer. Math. Soc., 127(9):2511-2525, 1999.
[34] S. S. Abhyankar. Resolution of singularities of embedded algebraic surfaces. Springer Monographs in Mathematics. Springer-Verlag, Berlin, second edition, 1998.
[35] Shreeram S. Abhyankar and Paul A. Loomis. Once more nice equations for nice groups. Proc. Amer. Math. Soc., 126(7):1885-1896, 1998.
[36] Shreeram S. Abhyankar. Polynomial expansion. Proc. Amer. Math. Soc., 126(6):1583-1596, 1998.
[37] Shreeram S. Abhyankar. Hilbert's thirteenth problem. In Algèbre non commutative, groupes quantiques et invariants (Reims, 1995), volume 2 of Sémin. Congr., pages 1-11. Soc. Math. France, Paris, 1997.
[38] Shreeram S. Abhyankar and Ganapathy S. Sundaram. Galois theory of Moore-Carlitz-Drinfeld modules. C. R. Acad. Sci. Paris Sér. I Math., 325(4):349-353, 1997.
[39] Shreeram S. Abhyankar. Projective polynomials. Proc. Amer. Math. Soc., 125(6):1643-1650, 1997.
[40] Shreeram S. Abhyankar. Local fundamental groups of algebraic varieties. Proc. Amer. Math. Soc., 125(6):1635-1641, 1997.
[41] Shreeram S. Abhyankar. Factorizations over finite fields. In Finite fields and applications (Glasgow, 1995), volume 233 of London Math. Soc. Lecture Note Ser., pages 1-21. Cambridge Univ. Press, Cambridge, 1996.
[42] W. Stephen Wilson, S. S. Chern, Shreeram S. Abhyankar, Serge Lang, and Jun-ichi Igusa. Wei-Liang Chow [1911-1995]. Notices Amer. Math. Soc., 43(10):1117-1124, 1996.
[43] Shreeram S. Abhyankar. Further nice equations for nice groups. Trans. Amer. Math. Soc., 348(4):1555-1577, 1996.
[44] Shreeram S. Abhyankar. More nice equations for nice groups. Proc. Amer. Math. Soc., 124(10):2977-2991, 1996.
[45] Shreeram S. Abhyankar. Again nice equations for nice groups. Proc. Amer. Math. Soc., 124(10):2967-2976, 1996.
[46] Shreeram S. Abhyankar and Avinash Sathaye. Uniqueness of plane embeddings of special curves. Proc. Amer. Math. Soc., 124(4):1061-1069, 1996.
[47] Shreeram S. Abhyankar. Mathieu group coverings and linear group coverings. In Recent developments in the inverse Galois problem (Seattle, WA, 1993), volume 186 of Contemp. Math., pages 293-319. Amer. Math. Soc., Providence, RI, 1995.
[48] Michael D. Fried, Shreeram S. Abhyankar, Walter Feit, Yasutaka Ihara, and Helmut Voelklein, editors. Recent developments in the inverse Galois problem, volume 186 of Contemporary Mathematics. American Mathematical Society, Providence, RI, 1995. Papers from the Joint Summer Research Conference held at the University of Washington, Seattle, Washington, July 17-23, 1993.
[49] Shreeram S. Abhyankar. Fundamental group of the affine line in positive characteristic. In Geometry and analysis (Bombay, 1992), pages 1-26. Tata Inst. Fund. Res., Bombay, 1995.
[50] Shreeram S. Abhyankar and William J. Heinzer. Intermediate rings. J. Algebra, 175(3):926-940, 1995.
[51] Oscar Zariski. Algebraic surfaces. Classics in Mathematics. Springer-Verlag, Berlin, 1995. With appendices by S. S. Abhyankar, J. Lipman and D. Mumford, Preface to the appendices by Mumford, Reprint of the second (1971) edition.
[52] Shreeram S. Abhyankar and William J. Heinzer. Examples and counterexamples in commutative ring theory. J. Algebra, 172(3):744-763, 1995.
[53] Shreeram S. Abhyankar and Ikkwon Yie. Small Mathieu group coverings in characteristic two. Proc. Amer. Math. Soc., 123(5):1319-1329, 1995.
[54] Shreeram S. Abhyankar. Some remarks on the Jacobian question. Proc. Indian Acad. Sci. Math. Sci., 104(3):515-542, 1994. With notes by Marius van der Put and William Heinzer, Updated by Avinash Sathaye.
[55] Shreeram S. Abhyankar and William J. Heinzer. Ramification in infinite integral extensions. J. Algebra, 170(3):861-879, 1994.
[56] Shreeram S. Abhyankar. Nice equations for nice groups. Israel J. Math., 88(1-3):1-23, 1994.
[57] Shreeram S. Abhyankar, Jun Ou, and Avinash Sathaye. Alternating group coverings of the affine line for characteristic two. Discrete Math., 133(1-3):25-46, 1994.
[58] Shreeram S. Abhyankar and Ikkwon Yie. Small degree coverings of the affine line in characteristic two. Discrete Math., 133(1-3):1-23, 1994.
[59] Shreeram S. Abhyankar. Polynomial maps and Zariski's main theorem. J. Algebra, 167(1):142-145, 1994.
[60] Shreeram S. Abhyankar. Square-root parametrization of plane curves. In Algebraic geometry and its applications (West Lafayette, IN, 1990), pages 19-84. Springer, New York, 1994.
[61] Chandrajit L. Bajaj, editor. Algebraic geometry and its applications. Springer-Verlag, New York, 1994. Papers from the conference held in honor of Shreeram Shankar Abhyankar at Purdue University, West Lafayette, Indiana, June 1-4, 1990.
[62] Shreeram S. Abhyankar and Ikkwon Yie. Some more Mathieu group coverings in characteristic two. Proc. Amer. Math. Soc., 122(4):1007-1014, 1994.
[63] Shreeram S. Abhyankar, Herbert Popp, and Wolfgang K. Seiler. Construction techniques for Galois coverings of the affine line. Proc. Indian Acad. Sci. Math. Sci., 103(2):103-126, 1993.
[64] Shreeram S. Abhyankar. Wreath products and enlargements of groups. Discrete Math., 120(1-3):1-12, 1993.
[65] Shreeram S. Abhyankar. Alternating group coverings of the affine line for characteristic greater than two. Math. Ann., 296(1):63-68, 1993.
[66] Shreeram S. Abhyankar and Sanjeevani B. Joshi. Generalized coinsertion and standard multitableaux. J. Statist. Plann. Inference, 34(1):5-18, 1993.
[67] Shreeram S. Abhyankar. Mathieu group coverings in characteristic two. C. R. Acad. Sci. Paris Sér. I Math., 316(3):267-271, 1993.
[68] Shreeram S. Abhyankar. Invariant theory and enumerative combinatorics of Young tableaux. In Geometric invariance in computer vision, Artificial Intelligence, pages 45-76. MIT Press, Cambridge, MA, 1992.
[69] Shreeram S. Abhyankar, Wolfgang K. Seiler, and Herbert Popp. Mathieu-group coverings of the affine line. Duke Math. J., 68(2):301-311, 1992.
[70] Shreeram S. Abhyankar. Galois theory on the line in nonzero characteristic. Bull. Amer. Math. Soc. (N.S.), 27(1):68-133, 1992.
[71] Shreeram S. Abhyankar. Linear disjointness of polynomials. Proc. Amer. Math. Soc., 116(1):7-12, 1992.
[72] Shreeram S. Abhyankar and Sanjeevani B. Joshi. Generalized rodeletive correspondence between multitableux and multimonomials. Discrete Math., 93(1):1-17, 1991.
[73] Shreeram S. Abhyankar and Sudhir R. Ghorpade. Young tableaux and linear independence of standard monomials in multiminors of a multimatrix. Discrete Math., 96(1):1-32, 1991.
[74] Shreeram S. Abhyankar and William J. Heinzer. Singular locus of an infinite integral extension. J. Algebra, 143(2):436-469, 1991.
[75] Shreeram S. Abhyankar and Sanjeevani B. Joshi. Generalized roinsertive correspondence between multitableaux and multimonomials. Discrete Math., 90(2):111-135, 1991.
[76] Shreeram S. Abhyankar. Group enlargements. C. R. Acad. Sci. Paris Sér. I Math., 312(11):763-768, 1991.
[77] Shreeram S. Abhyankar, Srinivasan Chandrasekar, and Vijaya Chandru. Intersection of algebraic space curves. Discrete Appl. Math., 31(2):81-96, 1991. First Canadian Conference on Computational Geometry (Montreal, PQ, 1989).
[78] Shreeram S. Abhyankar and William J. Heinzer. Derivativewise unramified infinite integral extensions. J. Algebra, 136(1):197-247, 1991.
[79] Shreeram S. Abhyankar, William Heinzer, and Sylvia Wiegand. On the compositum of two power series rings. Proc. Amer. Math. Soc., 112(3):629-636, 1991.
[80] S. S. Abhyankar, T. L. Morin, and T. Trafalis. Efficient faces of polytopes: interior point algorithms, parameterization of algebraic varieties, and multiple objective optimization. In Mathematical developments arising from linear programming (Brunswick, ME, 1988), volume 114 of Contemp. Math., pages 319-341. Amer. Math. Soc., Providence, RI, 1990.
[81] Shreeram S. Abhyankar and Devadatta M. Kulkarni. Coinsertion and standard bitableaux. Discrete Math., 85(2):115-166, 1990.
[82] Shreeram S. Abhyankar. Algebraic geometry for scientists and engineers, volume 35 of Mathematical Surveys and Monographs. American Mathematical Society, Providence, RI, 1990.
[83] Shreeram S. Abhyankar and Chanderjit L. Bajaj. Computations with algebraic curves. In Symbolic and algebraic computation (Rome, 1988), volume 358 of Lecture Notes in Comput. Sci., pages 274-284. Springer, Berlin, 1989.
[84] Shreeram S. Abhyankar and Devadatta M. Kulkarni. Bijection between indexed monomials and standard bitableaux. Discrete Math., 79(1):1-48, 1989/90.
[85] Shreeram S. Abhyankar and Wei Li. On the Jacobian conjecture: a new approach via Gröbner bases. J. Pure Appl. Algebra, 61(3):211-222, 1989.
[86] Shreeram S. Abhyankar and Sanjeevani B. Joshi. Generalized codeletion and standard multitableaux. In Group actions and invariant theory (Montreal, PQ, 1988), volume 10 of CMS Conf. Proc., pages 1-24. Amer. Math. Soc., Providence, RI, 1989.
[87] Shreeram S. Abhyankar. Irreducibility criterion for germs of analytic functions of two complex variables. Adv. Math., 74(2):190-257, 1989.
[88] Shreeram Abhyankar and Devadatta M. Kulkarni. On Hilbertian ideals. Linear Algebra Appl., 116:53-79, 1989.
[89] Shreeram S. Abhyankar and Chanderjit L. Bajaj. Automatic parameterization of rational curves and surfaces. III. Algebraic plane curves. Comput. Aided Geom. Design, 5(4):309-321, 1988.
[90] Shreeram S. Abhyankar. Determinantal loci and enumerative combinatorics of Young tableaux. In Algebraic geometry and commutative algebra, Vol.I, pages 1-26. Kinokuniya, Tokyo, 1988.
[91] Shreeram S. Abhyankar. What is the difference between a parabola and a hyperbola? Math. Intelligencer, 10(4):36-43, 1988.
[92] Shreeram S. Abhyankar. Good points of a hypersurface. Adv. in Math., 68(2):87-256, 1988.
[93] Shreeram S. Abhyankar. Enumerative combinatorics of Young tableaux, volume 115 of Monographs and Textbooks in Pure and Applied Mathematics. Marcel Dekker Inc., New York, 1988.
[94] Shreeram S. Abhyankar. Characteristic pairs. In Complex analytic singularities, volume 8 of Adv. Stud. Pure Math., pages 1-2. North-Holland, Amsterdam, 1987.
[95] S. Abhyankar. Combinatoire des tableaux de Young, variétés déterminantielles et calcul de fonctions de Hilbert. Rend. Sem. Mat. Univ. Politec. Torino, 42(3):65-88, 1984. Prepared by A. Galligo.
[96] Shreeram S. Abhyankar. On a question of Mumford. Amer. J. Math., 105(6):1455-1479, 1983.
[97] Shreeram S. Abhyankar. Desingularization of plane curves. In Singularities, Part 1 (Arcata, Calif., 1981), volume 40 of Proc. Sympos. Pure Math., pages 1-45. Amer. Math. Soc., Providence, RI, 1983.
[98] Shreeram S. Abhyankar. Weighted expansions for canonical desingularization, volume 910 of Lecture Notes in Mathematics. Springer-Verlag, Berlin, 1982. With a foreword by U. Orbanz.
[99] Shreeram S. Abhyankar and Lee A. Rubel. Every difference polynomial has a connected zero-set. J. Indian Math. Soc. (N.S.), 43(1-4):69-78 (1980), 1979.
[100] Shreeram S. Abhyankar. Quasirational singularities. Amer. J. Math., 101(2):267-300, 1979.
[101] Shreeram S. Abhyankar. On the semigroup of a meromorphic curve. I. In Proceedings of the International Symposium on Algebraic Geometry (Kyoto Univ., Kyoto, 1977), pages 249-414, Tokyo, 1978. Kinokuniya Book Store.
[102] Shreeram S. Abhyankar and Balwant Singh. Embeddings of certain curves in the affine plane. Amer. J. Math., 100(1):99-175, 1978.
[103] S. S. Abhyankar. Lectures on expansion techniques in algebraic geometry, volume 57 of Tata Institute of Fundamental Research Lectures on Mathematics and Physics. Tata Institute of Fundamental Research, Bombay, 1977. Notes by Balwant Singh.
[104] S. S. Abhyankar and T. T. Moh. On analytic independence. Trans. Amer. Math. Soc., 219:77-87, 1976.
[105] Shreeram S. Abhyankar. Historical ramblings in algebraic geometry and related algebra. Amer. Math. Monthly, 83(6):409-448, 1976.
[106] Shreeram S. Abhyankar. High-school algebra in algebraic geometry. In Proceedings of the American Academy Workshop on the Evolution of Modern Mathematics (Boston, Mass., 1974), volume 2, pages 567-572, 1975.
[107] Shreeram S. Abhyankar and Tzuong Tsieng Moh. Embeddings of the line in the plane. J. Reine Angew. Math., 276:148-166, 1975.
[108] S. S. Abhyankar and A. M. Sathaye. Geometric theory of algebraic space curves. Springer-Verlag, Berlin, 1974. Lecture Notes in Mathematics, Vol. 423.
[109] Shreeram Abhyankar. On Macaulay's examples. In Conference on Commutative Algebra (Univ. Kansas, Lawrence, Kan., 1972), pages 1-16. Lecture Notes in Math., Vol. 311. Springer, Berlin, 1973. Notes by A. Sathaye.
[110] Shreeram S. Abhyankar and Tzuong Tsieng Moh. Newton-Puiseux expansion and generalized Tschirnhausen transformation. I, II. J. Reine Angew. Math., 260:47-83; ibid. 261 (1973), 29-54, 1973.
[111] Shreeram S. Abhyankar, William Heinzer, and Paul Eakin. On the uniqueness of the coefficient ring in a polynomial ring. J. Algebra, 23:310-342, 1972.
[112] Oscar Zariski. Algebraic surfaces. Springer-Verlag, New York, supplemented edition, 1971. With appendices by S. S. Abhyankar, J. Lipman, and D. Mumford, Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 61.
[113] Shreeram S. Abhyankar. Algebraic space curves. Les Presses de l'Université de Montréal, Montreal, Que., 1971. Séminaire de Mathématiques Supérieures, No. 43 (Été 1970).
[114] Shreeram Abhyankar and Clifford Risk. Algebraic curve theory and the envelope diagrams. In Analytic methods in mathematical physics (Sympos., Indiana Univ., Bloomington, Ind., 1968), pages 15-25. Gordon and Breach, New York, 1970.
[115] Shreeram Shankar Abhyankar. Singularities of algebraic curves. In Analytic methods in mathematical physics (Sympos., Indiana Univ., Bloomington, Ind., 1968), pages 3-14. Gordon and Breach, New York, 1970.
[116] S. S. Abhyankar and M. van der Put. Homomorphisms of analytic local rings. J. Reine Angew. Math., 242:26-60, 1970.
[117] S. S. Abhyankar and T. T. Moh. A reduction theorem for divergent power series. J. Reine Angew. Math., 241:27-33, 1970.
[118] Shreeram Shankar Abhyankar. Contributions of Ramanujan to mathematics. In Symposia on Theoretical Physics and Mathematics, Vol. 10 (Inst. Math. Sci., Madras, 1969), pages 1-6. Plenum, New York, 1970.
[119] S. S. Abhyankar, T. T. Moh, and M. van der Put. Invariants of analytic local rings. Inst. Hautes Études Sci. Publ. Math., (36):165-193, 1969.
[120] Shreeram Shankar Abhyankar. Automorphisms of analytic local rings. Inst. Hautes Études Sci. Publ. Math., (36):136-163, 1969.
[121] Shreeram Shankar Abhyankar. Resolution of singularities of algebraic surfaces. In Algebraic Geometry (Internat. Colloq., Tata Inst. Fund. Res., Bombay, 1968), pages 1-11. Oxford Univ. Press, London, 1969.
[122] Sh. Sh. Abhyankar. On the problem of resolution of singularities. In Proc. Internat. Congr. Math. (Moscow, 1966), pages 469-481. Izdat. “Mir”, Moscow, 1968.
[123] Shreeram Shankar Abhyankar. Note on coefficient fields. Amer. J. Math., 90:346-355, 1968.
[124] Shreeram Shankar Abhyankar. A criterion of equisingularity. Amer. J. Math., 90:342-345, 1968.
[125] Shreeram Shankar Abhyankar. Remarks on equisingularity. Amer. J. Math., 90:108-144, 1968.
[126] Shreeram Shankar Abhyankar. Nonprefactorial local rings. Amer. J. Math., 89:1137-1146, 1967.
[127] Shreeram Shankar Abhyankar. Inversion and invariance of characteristic pairs. Amer. J. Math., 89:363-372, 1967.
[128] Shreeram Shankar Abhyankar. Local rings of high embedding dimension. Amer. J. Math., 89:1073-1077, 1967.
[129] Shreeram Shankar Abhyankar. Nonsplitting of valuations in extensions of two dimensional regular local domains. Math. Ann., 170:87-144, 1967.
[130] Shreeram Shankar Abhyankar. Resolution of singularities of embedded algebraic surfaces. Pure and Applied Mathematics, Vol. 24. Academic Press, New York, 1966.
[131] Shreeram Shankar Abhyankar. On the birational invariance of arithmetic genus. Rend. Mat. e Appl. (5), 25:77-86, 1966.
[132] Shreeram Shankar Abhyankar. Divisors on equisingular hypersurfaces. Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. (8), 41:49-50, 1966.
[133] Shreeram Shankar Abhyankar. An algorithm on polynomials in one indeterminate with coefficients in a two dimensional regular local domain. Ann. Mat. Pura Appl. (4), 71:25-59, 1966.
[134] Shreeram Shankar Abhyankar. Ramification and resolution. In Proc. Internat. Colloq. Algebraic Geometry (Madrid, 1965) (Spanish), pages 179-185. Inst. Jorge Juan del C. S. I. C.-Internat. Math. Union, Madrid, 1966.
[135] Shreeram S. Abhyankar. Umiformization in a p-cyclic extension of a two dimensional regular local domain of residue field characteristic p. In Festschr. Gedächtnisfeier K. Weierstrass, pages 243-317. Westdeutscher Verlag, Cologne, 1966.
[136] Shreeram S. Abhyankar. Resolution of singularities of arithmetical surfaces. In Arithmetical Algebraic Geometry (Proc. Conf. Purdue Univ., 1963), pages 111-152. Harper & Row, New York, 1965.
[137] Shreeram Abhyankar. Correction to: Uniformization of Jungian local domains. Math. Ann., 160:319-320, 1965.
[138] Shreeram Abhyankar. Uniformization of Jungian local domains. Math. Ann., 159:1-43, 1965.
[139] Shreeram Abhyankar. Errata: “A remark on the nonnormal locus of an analytic space”. Proc. Amer. Math. Soc., 15:1000, 1964.
[140] Shreeram Shankar Abhyankar. Local analytic geometry. Pure and Applied Mathematics, Vol. XIV. Academic Press, New York, 1964.
[141] Shreeram Abhyankar. Reduction to multiplicity less than p in a p-cyclic extension of a two dimensional regular local ring (p=characteristic of the residue field). Math. Ann., 154:28-55, 1964.
[142] Shreeram Abhyankar. A remark on the nonnormal locus of an analytic space. Proc. Amer. Math. Soc., 15:505-508, 1964.
[143] Shreeram Abhyankar. Uniformization in p-cyclic extensions of algebraic surfaces over ground fields of characteristic p. Math. Ann., 153:81-96, 1964.
[144] Shreeram Abhyankar. Remark on Hessians and flexes. Nieuw Arch. Wisk. (3), 11:110-117, 1963.
[145] Shreeram Abhyankar. Corrections to “Local uniformization on algebraic surfaces over ground fields of characteristic p=0”. Ann. of Math. (2), 78:202-203, 1963.
[146] Shreeram Abhyankar. Concepts of order and rank on a complex space, and a condition for normality. Math. Ann., 141:171-192, 1960.
[147] Shreeram Abhyankar. Cubic surfaces with a double line. Mem. Coll. Sci. Univ. Kyoto. Ser. A. Math., 32:455-511, 1960.
[148] Shreeram Abhyankar. Über die endliche Erzeugung der Fundamentalgruppe einer komplex-algebraischen Mannigfaltigkeit. Math. Ann., 139:265-274 (1960), 1960.
[149] Shreeram Abhyankar. Tame coverings and fundamental groups of algebraic varieties. VI. Plane curves of order at most four. Amer. J. Math., 82:374-388, 1960.
[150] Shreeram Abhyankar. Tame coverings and fundamental groups of algebraic varieties. V. Three cuspidal plane quartics. Amer. J. Math., 82:365-373, 1960.
[151] Shreeram Abhyankar. Tame coverings and fundamental groups of algebraic varieties. IV. Product theorems. Amer. J. Math., 82:341-364, 1960.
[152] Shreeram Abhyankar. Tame coverings and fundamental groups of algebraic varieties. III. Some other sets of conditions for the fundamental group to be abelian. Amer. J. Math., 82:179-190, 1960.
[153] Shreeram Abhyankar. Tame coverings and fndamental groups of algebraic varieties. II. Branch curves with higher singularities. Amer. J. Math., 82:120-178, 1960.
[154] Shreeram Abhyankar. Ramification theoretic methods in algebraic geometry. Annals of Mathematics Studies, no. 43. Princeton University Press, Princeton, N.J., 1959.
[155] Shreeram Abhyankar. Tame coverings and fundamental groups of algebraic varieties. I. Branch loci with normal crossings; Applications: Theorems of Zariski and Picard. Amer. J. Math., 81:46-94, 1959.
[156] Shreeram Abhyankar. On the ramification of algebraic functions. II. Unaffected equations for characteristic two. Trans. Amer. Math. Soc., 89:310-324, 1958.
[157] Shreeram Abhyankar. Coverings of algebraic curves. Amer. J. Math., 79:825-856, 1957.
[158] Shreeram Abhyankar. On the field of definition of a nonsingular birational transform of an algebraic surface. Ann. of Math. (2), 65:268-281, 1957.
[159] Shreeram Abhyankar. On the finite factor groups of abelian groups of finite rational rank. Amer. J. Math., 79:190-192, 1957.
[160] Shreeram Abhyankar. Simultaneous resolution for algebraic surfaces. Amer. J. Math., 78:761-790, 1956.
[161] Shreeram Abhyankar. On the valuations centered in a local domain. Amer. J. Math., 78:321-348, 1956.
[162] Shreeram Abhyankar. On the compositum of algebraically closed subfields. Proc. Amer. Math. Soc., 7:905-907, 1956.
[163] Shreeram Abhyankar. Two notes on formal power series. Proc. Amer. Math. Soc., 7:903-905, 1956.
[164] Shreeram Abhyankar. Local uniformization on algebraic surfaces over ground fields of characteristic p=/=0. Ann. of Math. (2), 63:491-526, 1956.
[165] Shreeram Abhyankar. On the ramification of algebraic functions. Amer. J. Math., 77:575-592, 1955.
[166] Shreeram Abhyankar. Splitting of valuations in extensions of local domains. II. Proc. Nat. Acad. Sci. U. S. A., 41:220-223, 1955.
[167] Shreeram Abhyankar and Oscar Zariski. Splitting of valuations in extensions of local domains. Proc. Nat. Acad. Sci. U. S. A., 41:84-90, 1955.
[168] S. S. Abhyankar. Note on positive polynomials. Amer. Math. Monthly, 61:184-187, 1954.