Cyclic coverings and Seshadri constants on smooth surfaces
Algebraic Geometry
2007-05-23 v2
Abstract
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 -cyclic coverings of the projective plane. When , explicit values are obtained. We relate this problem with the Nagata conjecture.
Cite
@article{arxiv.math/0511547,
title = {Cyclic coverings and Seshadri constants on smooth surfaces},
author = {Luis Fuentes Garcia},
journal= {arXiv preprint arXiv:math/0511547},
year = {2007}
}
Comments
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