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September 2011 A non-archimedean analogue of the Calabi-Yau theorem for totally degenerate abelian varieties
Yifeng Liu
J. Differential Geom. 89(1): 87-110 (September 2011). DOI: 10.4310/jdg/1324476752

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.

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Yifeng Liu. "A non-archimedean analogue of the Calabi-Yau theorem for totally degenerate abelian varieties." J. Differential Geom. 89 (1) 87 - 110, September 2011. https://doi.org/10.4310/jdg/1324476752

Information

Published: September 2011
First available in Project Euclid: 21 December 2011

zbMATH: 1254.14026
MathSciNet: MR2863913
Digital Object Identifier: 10.4310/jdg/1324476752

Rights: Copyright © 2011 Lehigh University

Vol.89 • No. 1 • September 2011
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