A non-archimedean analogue of Calabi-Yau theorem for totally degenerate abelian varieties
Yifeng Liu
TL;DR
This paper presents a non-archimedean analogue of the Calabi-Yau theorem, focusing on totally degenerate abelian varieties and probability measures on their Berkovich analytic spaces.
Contribution
It introduces a non-archimedean version of the Calabi-Yau theorem applicable to totally degenerate abelian varieties.
Findings
Example of a non-archimedean Calabi-Yau theorem
Application to totally degenerate abelian varieties
Analysis of probability measures on Berkovich spaces
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.
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Taxonomy
TopicsGeometry and complex manifolds · Geometric Analysis and Curvature Flows · Advanced Algebra and Geometry