Consecutive cancellations in Betti numbers

Author:
Irena Peeva

Journal:
Proc. Amer. Math. Soc. **132** (2004), 3503-3507

MSC (2000):
Primary 13D02

DOI:
https://doi.org/10.1090/S0002-9939-04-07517-3

Published electronically:
July 26, 2004

MathSciNet review:
2084070

Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: Let be a homogeneous ideal in a polynomial ring over a field. By Macaulay's Theorem, there exists a lexicographic ideal with the same Hilbert function as . We prove that the graded Betti numbers of are obtained from those of by a sequence of consecutive cancellations.

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Additional Information

**Irena Peeva**

Affiliation:
Department of Mathematics, Cornell University, Ithaca, New York 14853

DOI:
https://doi.org/10.1090/S0002-9939-04-07517-3

Keywords:
Syzygies

Received by editor(s):
November 21, 2002

Received by editor(s) in revised form:
August 25, 2003

Published electronically:
July 26, 2004

Communicated by:
Michael Stillman

Article copyright:
© Copyright 2004
American Mathematical Society