English

The cone conjecture for abelian varieties

Algebraic Geometry 2010-08-27 v1

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.

Keywords

Cite

@article{arxiv.1008.4509,
  title  = {The cone conjecture for abelian varieties},
  author = {Artie Prendergast-Smith},
  journal= {arXiv preprint arXiv:1008.4509},
  year   = {2010}
}

Comments

10 pages, 1 figure

R2 v1 2026-06-21T16:05:31.186Z