Seshadri constants in finite subgroups of abelian surfaces

Mathematics – Algebraic Geometry

Scientific paper

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Scientific paper

Given an etale 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.

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