Log abelian varieties over a log point
Algebraic Geometry
2019-09-04 v2 Number Theory
Abstract
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, Poincar\'e complete reducibility theorem for log abelian varieties, and the semi-simplicity of the endomorphism algebras of log abelian varieties.
Cite
@article{arxiv.1509.05920,
title = {Log abelian varieties over a log point},
author = {Heer Zhao},
journal= {arXiv preprint arXiv:1509.05920},
year = {2019}
}