Log Abelian Varieties over a Log Point
Heer ZhaoFakultät für Mathematik Universität Duisburg-Essen, 45117 Essen, Germany
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.
Cite this article
Heer Zhao, Log Abelian Varieties over a Log Point. Doc. Math. 22 (2017), pp. 505–550DOI 10.4171/DM/572