Semistable reduction of abelian varieties over extensions of small degree

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• 作者：Silverberg ; A. ; Zarhin ; Yu. G.
• 关键词：Primary 11G10 ; Secondary 14K15
• 刊名：Journal of Pure and Applied Algebra
• 出版年：1998
• 出版时间：November 10, 1998
• 年：1998
• 卷：132
• 期：2
• 页码：179-193
• 全文大小：671 K

文摘

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.