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arXiv · 0710.3568

A criterion for an abelian variety to be simple

Thomas Bauer
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Abstract

In this note we give a numerical criterion that expresses the condition that an abelian variety be simple in terms of an invariant that is closely related to the s-invariant of Ein-Cutkosky-Lazarsfeld. The criterion yields new examples where s-invariants are irrational. It may also be viewed as a statement about the geometry of the ample cone.

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Thomas Bauer. 2007-10-18. A criterion for an abelian variety to be simple. https://arxiv.org/abs/0710.3568

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