【摘 要】
：
Let K be a local field with algebraically closed residue field,and A be an abelian variety.The Shafarevich pairing gives a perfect duality between H1(K,A),t
【机 构】
：
UniversitédeBordeauxI
【出 处】
：
Sino-French Conference on Arithmetic Geometry(中法算术几何会议)
论文部分内容阅读
Let K be a local field with algebraically closed residue field,and A be an abelian variety.The Shafarevich pairing gives a perfect duality between H1(K,A),the set of isomorphic classes of torsors under A over K,and certain fundamental group of the dual of A.The classical construction of Shafarevich pairing is purely cohomological.In this talk,based on a joint work with Bertapelle,I will try to explain some new constructions of Shafarevich pairing by using Picard functors,which are more geometry in nature.
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