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arXiv:math/0511547 [math.AG]AbstractReferencesReviewsResources

Cyclic coverings and Seshadri constants on smooth surfaces

Luis Fuentes Garcia

Published 2005-11-22, updated 2006-04-27Version 2

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.

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
Categories: math.AG
Subjects: 14E20, 14C20
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arXiv:math/0512147 [math.AG] (Published 2005-12-07)
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