Cyclic coverings and Seshadri constants on smooth surfaces
| dc.creator | Garcia, Luis Fuentes | |
| dc.date | 2005-11-22 | |
| dc.date | 2006-04-27 | |
| dc.date.accessioned | 2026-07-07T06:51:35Z | |
| dc.date.available | 2026-07-07T06:51:35Z | |
| dc.description | We study the Seshadri constants of cyclic coverings of smooth surfaces. The existence of an automorphism on these surfaces can be used to produce Seshadri exceptional curves. We give a bound for multiple Seshadri constants on cyclic coverings of surfaces with Picard number 1. Morevoer, we apply this method to $n$-cyclic coverings of the projective plane. When $2\leq n\leq 9$, explicit values are obtained. We relate this problem with the Nagata conjecture. | |
| dc.description | 16 pages. Some results have been added. In particular, the main Theorem of math.AG/0512147 ("A note on multiple Seshadri constants on surfaces ") has been extended | |
| dc.identifier | https://arxiv.org/abs/math/0511547 | |
| dc.identifier | http://arxiv.org/abs/math/0511547 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/105032 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14E20; 14C20 | |
| dc.title | Cyclic coverings and Seshadri constants on smooth surfaces | |
| dc.type | text |