Classification of betti diagrams of varieties of almost minimal degree

Wanseok Lee; Euisung Park

doi:10.4134/JKMS.2011.48.5.1001

Classification of betti diagrams of varieties of almost minimal degree

Wanseok Lee, Euisung Park

Department of Mathematics

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

4 Citations (Scopus)

Abstract

In this article we study the problem to determine all occurring Betti diagrams of varieties X ⊂ P^r of almost minimal degree, i.e., deg(X) = codim(X,P^r) + 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,P^r) ≤ 8.

Original language	English
Pages (from-to)	1001-1015
Number of pages	15
Journal	Journal of the Korean Mathematical Society
Volume	48
Issue number	5
DOIs	https://doi.org/10.4134/JKMS.2011.48.5.1001
Publication status	Published - 2011 Sept

Keywords

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

ASJC Scopus subject areas

General Mathematics

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10.4134/JKMS.2011.48.5.1001

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KW - Minimal free resolution

KW - Rational normal scroll

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Classification of betti diagrams of varieties of almost minimal degree

Abstract

Keywords

ASJC Scopus subject areas

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