On the Canonical Ring of Covers of Surfaces of Minimal Degree
| dc.creator | Gallego, Francisco J. | |
| dc.creator | Purnaprajna, B. P. | |
| dc.date | 2001-11-06 | |
| dc.date.accessioned | 2026-07-07T04:44:23Z | |
| dc.date.available | 2026-07-07T04:44:23Z | |
| dc.description | Let f be a generically finite morphism from X to Y. The purpose of this paper is to show how the O_Y algebra structure on the push forward of O_X controls algebro-geometric aspects of X like the ring generation of graded rings associated to X and the very ampleness of line bundles on X. As the main application of this we prove some new results for certain regular surfaces X of general type. Precisely, we find the degrees of the generators of the canonical ring of X when the canonical morphism of X is a finite cover of a surface of minimal degree. These results complement results of Ciliberto [Ci] and Green [G]. The techniques of this paper also yield different proofs of some earlier results, such as Noether's theorem for certain kinds of curves and some results on Calabi-Yau threefolds that had appeared in [GP2]. | |
| dc.description | 22 pages, amstex | |
| dc.identifier | https://arxiv.org/abs/math/0111052 | |
| dc.identifier | http://arxiv.org/abs/math/0111052 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/62567 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14J29; 14J32 | |
| dc.title | On the Canonical Ring of Covers of Surfaces of Minimal Degree | |
| dc.type | text |