Cohomology of normic systems and fake Z_p extensions.

Published: Nov 18, 2021
Abstract
We set up a general framework to study Tate cohomology groups of Galois modules along \mathbb{Z}_pextensions of number fields. Under suitable assumptions on the Galois modules, we establish the existence of a five-term exact sequence in a certain quotient category whose objects are simultaneously direct and inverse systems, subject to some compatibility. The exact sequence allows one, in particular, to control the behaviour of the Tate...
Paper Details
Title
Cohomology of normic systems and fake Z_p extensions.
Published Date
Nov 18, 2021
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