Abstract
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) |
|---|---|
| Pages (from-to) | 87-110 |
| Number of pages | 24 |
| Journal | Journal of Differential Geometry |
| Volume | 89 |
| Issue number | 1 |
| DOIs | |
| State | Published - 2011 |
ASJC Scopus subject areas
- Analysis
- Algebra and Number Theory
- Geometry and Topology