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

Mathematics – Algebraic Geometry

Scientific paper

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18 pages

Scientific paper

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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