Seshadri constants in finite subgroups of abelian surfaces
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Given an étale quotient q : X → Y of smooth projective varieties we relate the simple Seshadri constant of a line bundle M on Y with the multiple Seshadri constant of q * M in the points of the fiber. We apply this method to compute the Seshadri constant of polarized abelian surfaces in the points of a finite subgroup.
KeywordsÉtale quotients Multiple Seshadri constants Abelian surfaces
Mathematics Subject Classification (2000)Primary 14C20 secondary 14E20
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