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 |
Keywords
- Betti number
- Minimal free resolution
- Rational normal scroll
- Varieties of low degree
ASJC Scopus subject areas
- Mathematics(all)
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Cite this
Lee, W., & Park, E. (2011). Classification of betti diagrams of varieties of almost minimal degree. Journal of the Korean Mathematical Society, 48(5), 1001-1015.