𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Almost regular sequences and Betti numbers

✍ 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

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Sequences of Betti numbers
✍ Mark Ramras πŸ“‚ Article πŸ“… 1980 πŸ› Elsevier Science 🌐 English βš– 575 KB
Computing the Betti numbers of arrangeme
✍ Saugata Basu πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 274 KB

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

Pinching and Betti numbers
✍ Dominique Hulin πŸ“‚ Article πŸ“… 1985 πŸ› Springer 🌐 English βš– 261 KB
Betti Numbers of Modules of Exponent Two
✍ Shou-Te Chang πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 271 KB

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 .

Curvature, diameter and betti numbers
✍ Michael Gromov πŸ“‚ Article πŸ“… 1981 πŸ› European Mathematical Society 🌐 English βš– 821 KB