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arXiv · 1211.4722

Analytic Tate spaces and reciprocity laws

Ricardo Garcia Lopez
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Abstract

We consider a functional analytic variant of the notion of Tate space, namely the category of those topological vector spaces which have a direct sum decomposition where one summand is nuclear Frechet space and the other is the dual of a nuclear Frechet. We show that, both in the complex and in the p-adic setting, one can use this formalism to define symbols for analytic functions which satisfy Weil-type reciprocity laws.

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Ricardo Garcia Lopez. 2013-05-03. Analytic Tate spaces and reciprocity laws. https://arxiv.org/abs/1211.4722

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