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

Giulio Caviglia, Satoshi Murai

Research output: Contribution to journalArticlepeer-review

2 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 languageEnglish
Pages (from-to)1019-1064
Number of pages46
JournalAlgebra and Number Theory
Volume7
Issue number5
DOIs
Publication statusPublished - 2013
Externally publishedYes

Keywords

  • Graded betti numbers
  • Hilbert polynomials

ASJC Scopus subject areas

  • Algebra and Number Theory

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