Betti numbers of transversal monomial ideals
| dc.creator | Zaare-Nahandi, Rahim | |
| dc.date | 2008-09-06 | |
| dc.date.accessioned | 2026-07-07T10:01:17Z | |
| dc.date.available | 2026-07-07T10:01:17Z | |
| dc.description | In this paper, by a modification of a previously constructed minimal free resolution for a transversal monomial ideal, the Betti numbers of this ideal is explicitly computed. For convenient characteristics of the ground field, up to a change of coordinates, the ideal of $t$-minors of a generic pluri-circulant matrix is a transversal monomial ideal . Using a Gröbner basis for this ideal, it is shown that the initial ideal of a generic pluri-circulant matrix is a stable monomial ideal when the matrix has two square blocks. By means of the Eliahou-Kervair resolution, the Betti numbers of this initial ideal is computed and it is proved that, for some significant values of $t$, this ideal has the same Betti numbers as the corresponding transversal monomial ideal. The ideals treated in this paper, naturally arise in the study of generic singularities of algebraic varieties. | |
| dc.description | 15 pages | |
| dc.identifier | https://arxiv.org/abs/0809.1163 | |
| dc.identifier | http://arxiv.org/abs/0809.1163 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/168582 | |
| dc.subject | Commutative Algebra | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 13D02; 13F55; 13D40 | |
| dc.title | Betti numbers of transversal monomial ideals | |
| dc.type | text |