TY - JOUR
T1 - Classification of betti diagrams of varieties of almost minimal degree
AU - Lee, Wanseok
AU - Park, Euisung
N1 - Copyright:
Copyright 2017 Elsevier B.V., All rights reserved.
PY - 2011/9
Y1 - 2011/9
N2 - 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.
AB - 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.
KW - Betti number
KW - Minimal free resolution
KW - Rational normal scroll
KW - Varieties of low degree
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U2 - 10.4134/JKMS.2011.48.5.1001
DO - 10.4134/JKMS.2011.48.5.1001
M3 - Article
AN - SCOPUS:80052600475
VL - 48
SP - 1001
EP - 1015
JO - Journal of the Korean Mathematical Society
JF - Journal of the Korean Mathematical Society
SN - 0304-9914
IS - 5
ER -