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Analytic Tate spaces and reciprocity laws
- Publication Year :
- 2012
-
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.
- Subjects :
- Pure mathematics
Mathematics - Number Theory
Formalism (philosophy)
General Mathematics
Reciprocity law
Space (mathematics)
Functional Analysis (math.FA)
Dual (category theory)
Mathematics - Functional Analysis
Mathematics - Algebraic Geometry
Fréchet space
Direct sum decomposition
FOS: Mathematics
Number Theory (math.NT)
Algebraic Geometry (math.AG)
Vector space
Analytic function
Mathematics
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Accession number :
- edsair.doi.dedup.....aa240ad7622d01f86df1a48485ff0d8d