Almost regular sequences and Betti numbers
β Scribed by Aramova, Annetta; Herzog, Jurgen
- Book ID
- 118225322
- Publisher
- John Hopkins University Press
- Year
- 2000
- Tongue
- English
- Weight
- 334 KB
- Volume
- 122
- Category
- Article
- ISSN
- 0002-9327
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π SIMILAR VOLUMES
In this paper, we consider the problem of computing the Betti numbers of an arrangement of n compact semi-algebraic sets, S 1 ; y; S n CR k ; where each S i is described using a constant number of polynomials with degrees bounded by a constant. Such arrangements are ubiquitous in computational geome
Let R, m, K be a regular local ring of dimension n and let M be a finite length module over R. This paper gives an affirmative answer to Horrocks' questions when m 2 M s 0, that is, in this case the rank of the ith syzygy of M is at and the ith Betti number of M is at least .