2005/11/22 by Luis Fuentes Garcia, Luis Fuentes García, Garcia, Luis Fuentes
Computer Science · Mathematics · #14C20 #14E20 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation #math.AG #msc:14C20 #msc:14E20
paper · pdf · doi:10.48550/arxiv.math/0511547
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
openalex publication_date 2005/11/22 · arxiv created 2006/04/27 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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≤ n≤ 9, explicit values are obtained. We relate this problem with the Nagata conjecture.