Sharp upper bounds for the betti numbers of a given hilbert polynomial

Giulio Caviglia; Satoshi Murai

doi:10.2140/ant.2013.7.1019

Sharp upper bounds for the betti numbers of a given hilbert polynomial

Giulio Caviglia, Satoshi Murai

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

We show that there exists a saturated graded ideal in a standard graded polynomial ring which has the largest total Betti numbers among all saturated graded ideals for a fixed Hilbert polynomial.

Original language	English
Pages (from-to)	1019-1064
Number of pages	46
Journal	Algebra and Number Theory
Volume	7
Issue number	5
DOIs	https://doi.org/10.2140/ant.2013.7.1019
Publication status	Published - 2013
Externally published	Yes

Keywords

Graded betti numbers
Hilbert polynomials

ASJC Scopus subject areas

Algebra and Number Theory

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10.2140/ant.2013.7.1019

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abstract = "We show that there exists a saturated graded ideal in a standard graded polynomial ring which has the largest total Betti numbers among all saturated graded ideals for a fixed Hilbert polynomial.",

keywords = "Graded betti numbers, Hilbert polynomials",

author = "Giulio Caviglia and Satoshi Murai",

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Sharp upper bounds for the betti numbers of a given hilbert polynomial

Abstract

Keywords

ASJC Scopus subject areas

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