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CLASSIFICATION OF BETTI DIAGRAMS OF VARIETIES OF ALMOST MINIMAL DEGREE
- Authors
- Lee, Wanseok; Park, Euisung
- Issue Date
- 9월-2011
- Publisher
- KOREAN MATHEMATICAL SOC
- Keywords
- minimal free resolution; Betti number; rational normal scroll; varieties of low degree
- Citation
- JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, v.48, no.5, pp.1001 - 1015
- Indexed
- SCIE
SCOPUS
KCI
- Journal Title
- JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY
- Volume
- 48
- Number
- 5
- Start Page
- 1001
- End Page
- 1015
- ISSN
- 0304-9914
- Abstract
- In this article we study the problem to determine all occurring Betti diagrams of varieties X subset of 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.
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