Log abelian varieties over a log point

We study (weak) log abelian varieties with constant degeneration in the log flat topology. If the base is a log point, we further study the endomorphism algebras of log abelian varieties. In particular, we prove the dual short exact sequence for isogenies, Poincaré complete reducibility theorem for...

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Bibliographic Details
Published in:arXiv.org 2019-09
Main Author: Heer Zhao
Format: Article
Language:English
Subjects:
Degeneration
Topology
Online Access:Get full text
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Summary:We study (weak) log abelian varieties with constant degeneration in the log flat topology. If the base is a log point, we further study the endomorphism algebras of log abelian varieties. In particular, we prove the dual short exact sequence for isogenies, Poincaré complete reducibility theorem for log abelian varieties, and the semi-simplicity of the endomorphism algebras of log abelian varieties.
ISSN:2331-8422