The minimal resolutions of double points in P^1 x P^1 with ACM support
| dc.creator | Guardo, Elena | |
| dc.creator | Van Tuyl, Adam | |
| dc.date | 2006-09-20 | |
| dc.date | 2007-04-07 | |
| dc.date.accessioned | 2026-07-07T07:55:28Z | |
| dc.date.available | 2026-07-07T07:55:28Z | |
| dc.description | Let Z be a finite set of double points in P^1 x P^1 and suppose further that X, the support of Z, is arithmetically Cohen-Macaulay (ACM). We present an algorithm, which depends only upon a combinatorial description of X, for the bigraded Betti numbers of I_Z, the defining ideal of Z. We then relate the total Betti numbers of I_Z to the shifts in the graded resolution, thus answering a special case of a question of T. Roemer. | |
| dc.description | 20 pages; revised version includes more detailed proofs in Section 4, and a new section (Section 6) where we answer a special case of question of T. Roemer. To appear J. Pure Appl. Alg | |
| dc.identifier | https://arxiv.org/abs/math/0609564 | |
| dc.identifier | http://arxiv.org/abs/math/0609564 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/126978 | |
| dc.subject | Commutative Algebra | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 13D40, 13D02, 13H10, 14A15 | |
| dc.title | The minimal resolutions of double points in P^1 x P^1 with ACM support | |
| dc.type | text |