On Euler characteristics of Selmer groups for abelian varieties over global function fields

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• 作者：Maria Valentino
• 关键词：Primary 11R23 ; Secondary 11R34 ; Euler characteristic ; Selmer groups ; Abelian varieties ; Function fields
• 刊名：Archiv der Mathematik
• 出版年：2016
• 出版时间：February 2016
• 年：2016
• 卷：106
• 期：2
• 页码：117-128
• 全文大小：613 KB
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• 作者单位：Maria Valentino (1)
  
  1. Scuola Normale Superiore di Pisa, Piazza dei Cavalieri, 7, 56126, Pisa, Italy
  
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Mathematics
  
• 出版者：Birkh盲user Basel
• ISSN：1420-8938

文摘

Let F be a global function field of characteristic \({p > 0}\), \({K/F}\) an \({\ell}\)-adic Lie extension (\({ \ell \neq p}\)), and \({A/F}\) an abelian variety. We provide Euler characteristic formulas for the Gal\({(K/F)}\)-module \({Sel_A(K)_\ell}\). Keywords Euler characteristic Selmer groups Abelian varieties Function fields