We show an example of a non-archimedean version of the existence part of the Calabi-Yau theorem in complex geometry. Precisely, we study totally degenerate abelian varieties and certain probability measures on their associated analytic spaces in the sense of Berkovich.
|Original language||English (US)|
|Number of pages||24|
|Journal||Journal of Differential Geometry|
|State||Published - 2011|
ASJC Scopus subject areas
- Algebra and Number Theory
- Geometry and Topology