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

DOI10.4310/jdg/1324476752zbMath1254.14026arXiv1006.2852OpenAlexW2594151575WikidataQ115170616 ScholiaQ115170616MaRDI QIDQ410091

Yifeng Liu

Publication date: 17 April 2012

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1006.2852

zbMATH Keywords

abelian varietyCalabi-Yau theoremnon-Archimidean field

Mathematics Subject Classification ID

Calabi-Yau theory (complex-analytic aspects) (32Q25) Arithmetic ground fields for abelian varieties (14K15) Rigid analytic geometry (14G22)

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Balanced embedding of degenerating Abelian varieties ⋮ Big Picard theorem for jet differentials and non-Archimedean Ax-Lindemann theorem ⋮ Global pluripotential theory over a trivially valued field ⋮ Global pluripotential theory on hybrid spaces ⋮ A comparison of the real and non-Archimedean Monge-Ampère operator ⋮ The arithmetic Hodge index theorem for adelic line bundles ⋮ Singular semipositive metrics in non-Archimedean geometry ⋮ The Non-Archimedean Monge–Ampère Equation ⋮ Continuity of plurisubharmonic envelopes in non-Archimedean geometry and test ideals. With an appendix by José Ignacio Burgos Gil and Martín Sombra. ⋮ Solution to a non-Archimedean Monge-Ampère equation ⋮ Degenerated Calabi-Yau varieties with infinite components, moduli compactifications, and limit toroidal structures

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