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Betti numbers of some monomial ideals
Author(s):
Giuseppe
Valla
Journal:
Proc. Amer. Math. Soc.
133
(2005),
57-63.
MSC (2000):
Primary 13D40;
Secondary 13P99
Posted:
June 18, 2004
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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
References:
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- 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
-sequence, J. Pure Appl. Algebra 51 (1988), 193-195. MR 89c:13020 - 6.
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Additional Information:
Giuseppe
Valla
Affiliation:
Department of Mathematics, University of Genoa, Via Dodecaneso 35, 16146 Genoa, Italy
Email:
valla@dima.unige.it
DOI:
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
Posted:
June 18, 2004
Communicated by:
Bernd Ulrich
Copyright of article:
Copyright
2004,
American Mathematical Society
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