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

研究成果: Article › 査読

2 被引用数 (Scopus)

抄録

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.

本文言語	English
ページ（範囲）	1019-1064
ページ数	46
ジャーナル	Algebra and Number Theory
巻	7
号	5
DOI	https://doi.org/10.2140/ant.2013.7.1019
出版ステータス	Published - 2013
外部発表	はい

ASJC Scopus subject areas

代数と数論

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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",

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

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