Results 91 to 100 of about 50,694 (192)

Galois cohomology revisited

open access: yes, 2017
We recast the Galois cohomology of the variety $V$ over a number field $k$ in terms of the K-theory of a $C^*$-algebra $\mathscr{A}_V$ connected to $V$. It is proved that $V$ is isomorphic to $V'$ over $k$ (algebraic closure of $k$, resp.) if and only if $\mathscr{A}_V$ is isomorphic (Morita equivalent, resp.) to $\mathscr{A}_{V'}$.
openaire   +2 more sources

Localization of the cohomology of a finite galois group in a dedekind domain [PDF]

open access: yes, 1976
LeI us take a Dedekind domain A with field of fractions K. L a finite Galois extensión of K with Galois group G and B the integral closure of A in L.
Suárez, Marco F.
core  

The short exact sequence in definable Galois cohomology [PDF]

open access: yes
In Remarks on Galois Cohomology and Definability [2], Pillay introduced definable Galois cohomology, a model-theoretic generalization of Galois cohomology. Let $M$ be an atomic and strongly $\omega$-homogeneous structure over a set of parameters $A$. Let
Meretzky, David
core   +1 more source

The integer cohomology of toric Weyl arrangements [PDF]

open access: yes
A toric arrangement is a finite set of hypersurfaces in a complex torus, every hypersurface being the kernel of a character. In the present paper we prove that if T(W) is the toric arrangement defined by the cocharacters lattice of a Weyl group W, then ...
Simona Settepanella
core  

Pairings, duality, amenability and bounded cohomology

open access: yes, 2012
We give a new perspective on the homological characterisations of amenability given by Johnson and Ringrose in the context of bounded cohomology and by Block and Weinberger in the context of uniformly finite homology.
Wright, Nick   +2 more
core   +1 more source

Galois descent, cohomology, and conjugacy

open access: yes, 2021
We give a concise exposition on the application of non-abelian Galois cohomology to descent problems in algebra, as developed by A. Borel, J.-P. Serre, and others in the late fifties and early sixties. Although its origins lie in algebraic number theory,
Moore, Jenna
core   +1 more source

Hopf Galois Theory for Separable Field Extensions [PDF]

open access: yes, 1987
Greither, C.   +4 more
core   +1 more source

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