Exterior algebra methods for the Minimal Resolution Conjecture
| dc.creator | Eisenbud, David | |
| dc.creator | Popescu, Sorin | |
| dc.creator | Schreyer, Frank-Olaf | |
| dc.creator | Walter, Charles | |
| dc.date | 2000-11-28 | |
| dc.date.accessioned | 2026-07-07T04:38:53Z | |
| dc.date.available | 2026-07-07T04:38:53Z | |
| dc.description | If r\geq 6, r\neq 9, we show that the Minimal Resolution Conjecture fails for a general set of m points in P^r for almost 1/2\sqrt r values of m. This strengthens the result of Eisenbud and Popescu [1999], who found a unique such m for each r in the given range. Our proof begins like a variation of that of Eisenbud and Popescu, but uses exterior algebra methods as explained by Eisenbud and Schreyer [2000] to avoid the degeneration arguments that were the most difficult part of the Eisenbud-Popescu proof. Analogous techniques show that the Minimal Resolution Conjecture fails for linearly normal curves of degree d and genus g when d\geq 3g-2, g\geq 4, reproving results of Schreyer, Green, and Lazarsfeld. | |
| dc.description | 15 pages, Plain TeX, uses diagrams.tex | |
| dc.identifier | https://arxiv.org/abs/math/0011236 | |
| dc.identifier | http://arxiv.org/abs/math/0011236 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/60453 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Commutative Algebra | |
| dc.subject | Rings and Algebras | |
| dc.title | Exterior algebra methods for the Minimal Resolution Conjecture | |
| dc.type | text |