Ampleness of intersections of translates of theta divisors in an abelian fourfold

Details Ampleness of intersections of translates of theta divisors in an abelian fourfold Ampleness of intersections of translates of theta divisors in an abelian fourfold

2005-06-19

arxiv.org/abs/math/0506374v2

Mathematics

Algebraic Geometry

ams-latex, 8 pages

Scientific paper

We prove that the cotangent bundle of a complete intersection of two general
translates of the theta divisor of the jacobian of a general curve of genus 4
is ample. From this the same result for a general principally polarized abelian
variety of dimension 4 follows.

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