The cone conjecture for abelian varieties

Abstract

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.

10 pages, 1 figure

References in corpus (1)

• Compactifications of moduli spaces inspired by mirror symmetry

Cited by in corpus (2)

• Isogeny orbits in a family of abelian varieties
• Fano manifolds of index n-1 and the cone conjecture