Semistable reduction of abelian varieties over extensions of small degree
alg-geom
2016-08-30 v2 Algebraic Geometry
Abstract
We obtain necessary and sufficient conditions for abelian varieties to acquire semistable reduction over fields of low degree. Our criteria are expressed in terms of torsion points of small order defined over unramified extensions.
Cite
@article{arxiv.alg-geom/9702004,
title = {Semistable reduction of abelian varieties over extensions of small degree},
author = {A. Silverberg and Yu. G. Zarhin},
journal= {arXiv preprint arXiv:alg-geom/9702004},
year = {2016}
}
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