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 language | English |
|---|---|
| Pages (from-to) | 1001-1015 |
| Number of pages | 15 |
| Journal | Journal of the Korean Mathematical Society |
| Volume | 48 |
| Issue number | 5 |
| Publication status | Published - 2011 Sep 1 |
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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 journal › Article
}
TY - JOUR
T1 - Classification of betti diagrams of varieties of almost minimal degree
AU - Lee, Wanseok
AU - Park, Euisung
PY - 2011/9/1
Y1 - 2011/9/1
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
UR - http://www.scopus.com/inward/record.url?scp=80052600475&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=80052600475&partnerID=8YFLogxK
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 -