Giulio Caviglia   


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  Publications
  1. The Lex-Plus-Power inequality for local cohomology modules (with E. Sbarra), Mathematische Annalen, (to appear) DOI 10.1007/s00208015-1180-5. PDF
  2. Componentwise regularity (I) (with M. Varbaro), Journal of Pure and Applied Algebra, 219 (2015), no. 1, 175-182.  PDF
  3. Distractions of Shakin rings (with E. Sbarra), Journal of Algebra,  419 (2014), 318-331.  PDF
  4. Poset Embedding of Hilbert functions and Betti numbers (with M. Kummini), Journal of Algebra, 410 (2014), 244-257.  PDF
  5. On a conjecture by Kalai (with A. Constantinescu and M. Varbaro), Israel Journal of Mathematics, 2014, Vol 204 (1), 469-475PDF
  6. Betti tables of p-Borel-fixed ideals (with M. Kummini), Journal of Algebraic Combinatorics, 39 (2014) no.3 711-718 .  PDF
  7. Sharp Upper Bounds of the Betti numbers for a given Hilbert polynomial (with S. Murai), Algebra and Number Theory, Vol. 7 (2013), No. 5, 1019-1064.  PDF
  8. Generic circuits sets and general initial ideals with respect to weights (with E. Sbarra), Journal of Commutative Algebra Vol. 5, No. 1, (2013), 49-62.  PDF
  9. Koszul property of projections of the Veronese cubic surface (with A. Conca), Advances in Mathematics, Vol. 234 (2013), 404-413.  PDF
  10.  Poset embddings of Hilbert functions (with M. Kummini),  Mathematische Zeitschrift,  Vol. 274 (2013), 805-819.  PDF
  11.  The pinched Veronese is Koszul, Journal of Algebraic Combinatorics,  Vol. 30 (2009), 539-548. PDF
  12. Some ideals with large projective dimension (with M. Kummini), Proceedings of the American Mathematical Society, Vol. 136 (2008),  505-509.  PDF
  13. Some cases of the Eisenbud-Green-Harris conjecture (with D. Maclagan),  Mathematical Research Letters,  Vol. 15 (2008),  427-433. PDF
  14. Bounds on the Castelnuovo-Mumford regularity of tensor productsProceedings of the American Mathematical Society, Vol. 135 (2007),  1949-1957.  PDF 
  15.  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
  16. Characteristic-free bounds for the Castelnuovo-Mumford regularity (with E. Sbarra), Compositio Mathematica, Vol. 141 (2005), 1365-1373. PDF
  In Press
  1. On Hilbert functions of general intersection of ideals (with S. Murai) accepted in  Nagoya Mathematical Journal , 10 pages, (pending revisions). PDF
  Submitted
  1. A hyperplane restriction theorem and applications to reductions of ideals.  PDF
  2. An upper bound for the multiplicity of almost complete intersections.  PDF
  3. Zero-Generic initial ideals (with E. Sbarra), arXiv:1303.5373 [math.AC]. PDF
  Other
  • Koszul algebras, Castelnuovo-Mumford regularity and generic initial ideal, PhD thesis. PDF