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arxiv: alg-geom/9702004 · v2 · pith:DP2UIKXUnew · submitted 1997-02-03 · alg-geom · math.AG

Semistable reduction of abelian varieties over extensions of small degree

classification alg-geom math.AG
keywords abeliandegreeextensionsreductionsemistablesmallvarietiesacquire
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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.

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