Analytic Tate spaces and reciprocity laws
Algebraic Geometry
2013-05-06 v3 Functional Analysis
Number Theory
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.
Cite
@article{arxiv.1211.4722,
title = {Analytic Tate spaces and reciprocity laws},
author = {Ricardo Garcia Lopez},
journal= {arXiv preprint arXiv:1211.4722},
year = {2013}
}