科研之友
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摘要
Let K be the function field of a smooth projective curve X over a p-adic field or over C((t)). We define Tate-Shafarevich groups of a commutative group scheme via cohomology classes locally trivial at each completion of K coming from a closed point of X. We prove arithmetic duality theorems for Tate-Shafarevich groups of abelian varieties over K.
- 出版日期2017
