Asymptotic Np property of rational surfaces
| dc.creator | Tai, Ha Huy | |
| dc.date | 2001-02-28 | |
| dc.date | 2001-03-03 | |
| dc.date.accessioned | 2026-07-07T04:40:25Z | |
| dc.date.available | 2026-07-07T04:40:25Z | |
| dc.description | In this paper, we examine Green and Lazarsfeld's Np property for rational surfaces obtained by blowing up the projective plane P^2 at a subscheme of fat points Z. We show that these surfaces, embedded into projective spaces by linear system of plane curves of degree t containing Z, possess property Np for all t >> 0. This gives a positive answer to a conjecture of Geramita and Gimigliano. Our bound for the values t is better than the conjectural value, which is σ(Z) + p. | |
| dc.description | 7 pages | |
| dc.identifier | https://arxiv.org/abs/math/0102224 | |
| dc.identifier | http://arxiv.org/abs/math/0102224 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/61023 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Commutative Algebra | |
| dc.subject | Rings and Algebras | |
| dc.subject | 14E25; 14J26; 13D02 | |
| dc.title | Asymptotic Np property of rational surfaces | |
| dc.type | text |