The cone conjecture for abelian varieties

Details The cone conjecture for abelian varieties The cone conjecture for abelian varieties

2010-08-26

arxiv.org/abs/1008.4509v1

Mathematics

Algebraic Geometry

10 pages, 1 figure

Scientific paper

We give a proof of the Morrison--Kawamata cone conjecture for abelian
varieties. The proof is a straightforward deduction from well-known results on
the real endomorphism algebra of an abelian variety and reduction theory for
self-dual homogeneous convex cones.

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