paper

A non-archimedean analogue of Calabi-Yau theorem for totally degenerate abelian varieties

arXiv:1006.2852

Abstract

We show an example of a non-archimedean version of the Calabi-Yau theorem in complex geometry. Precisely, we consider totally degenerate abelian varieties and certain probability measures on their associated analytic spaces in the sense of Berkovich.

18 pages