Classification of betti diagrams of varieties of almost minimal degree

Wanseok Lee, Euisung Park

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

In this article we study the problem to determine all occurring Betti diagrams of varieties X ⊂ Pr of almost minimal degree, i.e., deg(X) = codim(X,Pr) + 2. We describe a realistic picture of how many different kind of Betti diagrams exist at all (Theorem 3.1). By means of the computer algebra system "SINGULAR", we obtain a complete list of all occurring Betti diagrams in the cases where codim(X,Pr) ≤ 8.

Original languageEnglish
Pages (from-to)1001-1015
Number of pages15
JournalJournal of the Korean Mathematical Society
Volume48
Issue number5
Publication statusPublished - 2011 Sep 1

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Diagram
Computer algebra system
Theorem

Keywords

  • Betti number
  • Minimal free resolution
  • Rational normal scroll
  • Varieties of low degree

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Classification of betti diagrams of varieties of almost minimal degree. / Lee, Wanseok; Park, Euisung.

In: Journal of the Korean Mathematical Society, Vol. 48, No. 5, 01.09.2011, p. 1001-1015.

Research output: Contribution to journalArticle

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