Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
   
Mobile Device Pairing
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Betti numbers of some monomial ideals


Author: Giuseppe Valla
Journal: Proc. Amer. Math. Soc. 133 (2005), 57-63
MSC (2000): Primary 13D40; Secondary 13P99
Published electronically: June 18, 2004
MathSciNet review: 2085153
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: In this paper we compute the graded Betti numbers of certain monomial ideals that are not stable. As a consequence we prove a conjecture, stated by G. Fatabbi, on the graded Betti numbers of two general fat points in $\mathbf{P}^3.$


References [Enhancements On Off] (What's this?)

  • 1. Cavaliere M.P., Rossi M.E., Valla G., On the resolution of certain graded algebras, Trans. A.M.S. 337 (1983), 389-409. MR 93m:13004
  • 2. De Concini C., Eisenbud D., Procesi C., Hodge Algebras, Astérisque 91 (1982). MR 85d:13009
  • 3. Eliahou S., Kervaire M., Minimal resolutions of some monomial ideals, J. Algebra 129 (1) (1990), 1-25. MR 91b:13019
  • 4. Fatabbi G., On the resolution of ideals of fat points, J. Algebra 242 (2001), 92-108. MR 2002d:13015
  • 5. Lyubeznik G., A new explicit finite resolution of ideals generated by monomials in an $R$-sequence, J. Pure Appl. Algebra 51 (1988), 193-195. MR 89c:13020
  • 6. Taylor D., Ideals generated by monomials in an $R$-sequence, Thesis, University of Chicago, (1966).

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 13D40, 13P99

Retrieve articles in all journals with MSC (2000): 13D40, 13P99


Additional Information

Giuseppe Valla
Affiliation: Department of Mathematics, University of Genoa, Via Dodecaneso 35, 16146 Genoa, Italy
Email: valla@dima.unige.it

DOI: http://dx.doi.org/10.1090/S0002-9939-04-07557-4
PII: S 0002-9939(04)07557-4
Keywords: Monomial ideal, Betti number, ideal of fat points
Received by editor(s): May 12, 2003
Received by editor(s) in revised form: October 13, 2003
Published electronically: June 18, 2004
Communicated by: Bernd Ulrich
Article copyright: © Copyright 2004 American Mathematical Society