On the Universal Norms of Some Abelian Varieties Over Local Fields

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概要

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• Let F be a finite extension field of Qp , A an abelian variety defined over F with ordinary good reduction and with sufficiently many endomorphisms (see the theorem below for a precise statement). In this paper we prove that there exists unique Galois extension M of F such that for a Galois extension K of F, the group NK ⁄F (A ) of universal norms is finite if and only if K contains M. Our result generalizes that of J. Coates and R. Greenberg [1] which concerns the case of elliptic curves.

• 東北大学の論文

著者

• Imai Hideo

  Graduate School Of Information Sciences Tohoku University

関連論文

• On the Universal Norms of Some Abelian Varieties Over Local Fields

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