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.
Rational curves on quotients of abelian varieties by finite groups
Singularities of divisors of low degree on abelian varieties
Index conditions and cup-product maps on abelian varieties
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