Giulio Caviglia

Vitae

Research

Links

Publications

[29] The Eisenbud-Green-Harris conjecture for fast-growing degree sequences (with A. De Stefani), accpeted, Ann. Sc. Norm. Super. Pisa Cl. Sci. (2023).
[28] Syzygies in Hilbert schemes of complete intersections (with A. Sammartano), Journal of Algebra 619, 538-557 (2023).(PDF) (arxiv)
[27] On the notion of Sequentially Cohen-Macaulay modules ( with A. De Stefani, E. Sbarra and F. Strazzanti) Res. Math. Sci. 9 (2022) , no.3, Paper No 40, 27pp.
[26] Linearly presented modules and bounds on the Castelnuovo-Mumford regularity of ideals (with A. De Stefani), Proceedings of the A.M.S. 150 (2022) no.4 1397-1404. (PDF) (arXiv)
[25] A hyperplane restriction theorem and applications to reductions of ideals, Proceedings of the A.M.S ser B. 9 (2022), 325-335. (PDF) (arXiv)

[24] The Eisenbud-Green-Harris Conjecture (with A. De Stefani and E. Sbarra), Commutative algebra, Springer, Cham, (2021), 159-187. (PDF)

[23] A Cayley-Bacharach theorem for points in P^n (with A. De Stefani), Bull. London Math. Soc. (2021).

[22] Decomposition of local cohomology tables of modules with large E-depth (with A. De Stefani), J. Pure Appl. Algebra, Vol. 225 (2021), art. 106635. (PDF) (arXiv)

[21] Regularity of prime ideals (with M. Chardin, J. McCullough, M. Varbaro and I. Peeva), Mathematische Zeitschrift, Vol. 291 (2019), 421-435. (PDF)

[20] Depth and regularity modulo a principal ideal (with T.Ha, J. Herzog, M.Kummini, N.Terai and N.V.Trung), Journal of Algebraic Combinatorics, Vol. 49 (2018), 1-20. (PDF) (arXiv)

[19] On the Lex-Plus-Power conjecture (with A. Sammartano), Advances in Math. Vol 340 (2018), 284-299. (PDF) (arXiv)

[18] The Lex-Plus-Power inequality for local cohomology modules (with E. Sbarra), Mathematische Annalen, Vol. 364 (2016), 225-241. (PDF) (arXiv)

[17] On Hilbert functions of general intersection of ideals (with S. Murai), Nagoya Mathematical Journal, Vol. 222 (2016), 61-73. (PDF) (arXiv)

[16] Zero-generic initial ideals (with E. Sbarra), Manuscripta Mathematica, Vol. 148 (2015), 507-520. (PDF) (arXiv)

[15] Componentwise regularity (I) (with M. Varbaro), Journal of Pure and Applied Algebra, Vol. 219 (2015), 175-182. (PDF) (arXiv)

[14] Distractions of Shakin rings (with E. Sbarra), Journal of Algebra, Vol. 419 (2014), 318-331. (PDF) (arXiv)

[13] Poset embedding of Hilbert functions and Betti numbers (with M. Kummini), Journal of Algebra, Vol. 410 (2014), 244-257. (PDF) (arXiv)

[12] On a conjecture by Kalai (with A. Constantinescu and M. Varbaro), Israel Journal of Mathematics, Vol 204 (2014), 469-475. (PDF) (arXiv)

[11] Betti tables of p-Borel-fixed ideals (with M. Kummini), Journal of Algebraic Combinatorics, Vol. 39 (2014), 711-718 . (PDF) (arXiv)

[10] Sharp upper bounds of the Betti numbers for a given Hilbert polynomial (with S. Murai), Algebra and Number Theory, Vol. 7 (2013), 1019-1064. (PDF) (arXiv)

[8] Koszul property of projections of the Veronese cubic surface (with A. Conca), Advances in Mathematics, Vol. 234 (2013), 404-413. (PDF) (arXiv)

[7] Poset embeddings of Hilbert functions (with M. Kummini), Mathematische Zeitschrift, Vol. 274 (2013), 805-819. (PDF) (arXiv)
[6] The pinched Veronese is Koszul, Journal of Algebraic Combinatorics, Vol. 30 (2009), 539-548. (PDF) (arXiv)

[5] Some ideals with large projective dimension (with M. Kummini), Proceedings of the American Mathematical Society, Vol. 136 (2008), 505-509. (PDF) (arXiv)

[4] Some cases of the Eisenbud-Green-Harris conjecture (with D. Maclagan), Mathematical Research Letters, Vol. 15 (2008), 427-433. (PDF) (arXiv)

[3] Bounds on the Castelnuovo-Mumford regularity of tensor products, Proceedings of the American Mathematical Society, Vol. 135 (2007), 1949-1957. (PDF) (arXiv)

[2] A theorem of Eakin and Sathaye and Green's hyperplane restriction theorem, Commutative algebra, Lect. Notes Pure Appl. Math. Vol. 244 (2006), 1-5. (PDF) (arXiv)

[1] Characteristic-free bounds for the Castelnuovo-Mumford regularity (with E. Sbarra), Compositio Mathematica, Vol. 141 (2005), 1365-1373. (PDF) (arXiv)

Submitted

[S1] Upper bounds on minimal generators of prime ideals (with A. De Stefani), 14 pages. (PDF) (arXiv) (PDF) (arXiv)

Other

Koszul algebras, Castelnuovo-Mumford regularity and generic initial ideal, PhD thesis. (PDF)