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

O. Debarre·E. Izadi
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Abstract

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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O. Debarre, E. Izadi. 2005-06-21. Ampleness of intersections of translates of theta divisors in an abelian fourfold. https://arxiv.org/abs/math/0506374

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