A criterion for an abelian variety to be simple

Details A criterion for an abelian variety to be simple A criterion for an abelian variety to be simple

2007-10-18

arxiv.org/abs/0710.3568v1

Mathematics

Algebraic Geometry

Scientific paper

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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