### 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 |
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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.