A generalized Mazur’s theorem and its applications

Tan, Ki-Seng

doi:10.1090/S0002-9947-10-05042-7

A generalized Mazur’s theorem and its applications
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by Ki-Seng Tan PDF

Trans. Amer. Math. Soc. 362 (2010), 4433-4450 Request permission

Abstract:

We generalize a theorem of Mazur concerning the universal norms of an abelian variety over a $\mathbb {Z}_p^d$-extension of a complete local field. Then we apply it to the proof of a control theorem for abelian varieties over global function fields.

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