On syzygies of linear sections

Research output: Contribution to journalArticle

Abstract

In this paper, we study how the minimal free resolution of a closed subscheme X ⊂ ℙr relates to that of a linear section X ∩ Λ ⊂ Λ = ℙs (0 < s < r). Our main result implies that the shape of the final non-zero row of the Betti diagram of X is preserved under taking the zero-dimensional and one-dimensional linear sections.

Original languageEnglish
Pages (from-to)1831-1836
Number of pages6
JournalProceedings of the American Mathematical Society
Volume143
Issue number5
DOIs
Publication statusPublished - 2015

Keywords

  • Linear section
  • Minimal free resolution

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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