Tamagawa Torsors of an Abelian Variety

Saikat Biswas

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arXiv · 1311.6833

Tamagawa Torsors of an Abelian Variety

Saikat Biswas

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Abstract

For an abelian variety $A$ over a number field $K$, we define the set of Tamagawa torsors of $A$ at a prime $v$ of $K$ to be the set of principal homogeneous spaces of $A$ over the completion $K_v$ of $K$ at $v$ that are split by an unramified extension of $K_v$. In this paper, we study the arithmetic properties of the Tamagawa torsors.

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Saikat Biswas. 2013-11-26. Tamagawa Torsors of an Abelian Variety. https://arxiv.org/abs/1311.6833

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