Consecutive cancellations in Betti numbers
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- by Irena Peeva PDF
- Proc. Amer. Math. Soc. 132 (2004), 3503-3507 Request permission
Abstract:
Let $I$ be a homogeneous ideal in a polynomial ring over a field. By Macaulay’s Theorem, there exists a lexicographic ideal $L$ with the same Hilbert function as $I$. We prove that the graded Betti numbers of $I$ are obtained from those of $L$ by a sequence of consecutive cancellations.References
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Additional Information
- Irena Peeva
- Affiliation: Department of Mathematics, Cornell University, Ithaca, New York 14853
- MR Author ID: 263618
- 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
- © Copyright 2004 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 132 (2004), 3503-3507
- MSC (2000): Primary 13D02
- DOI: https://doi.org/10.1090/S0002-9939-04-07517-3
- MathSciNet review: 2084070