Duality for condensed cohomology of the Weil group of a p-adic field

Autor:	Artusa, Marco
Rok vydání:	2024
Předmět:	Mathematics - Number Theory
Druh dokumentu:	Working Paper
Popis:	We use the theory of Condensed Mathematics to build a condensed cohomology theory for the Weil group of a $p$-adic field. The cohomology groups are proved to be locally compact abelian groups of finite ranks in some special cases. This allows us to enlarge the local Tate Duality to a more general category of non-necessarily discrete coefficients, where it takes the form of a Pontryagin duality between locally compact abelian groups.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2402.05565 Zobrazit plný text záznamu View this record from Arxiv