Results 1 to 10 of about 17,737 (190)
A note on Gersten’s conjecture for étale cohomology over two-dimensional henselian regular local rings [PDF]
Comptes Rendus. Mathématique, 2020 We prove Gersten’s conjecture for étale cohomology over two dimensional henselian regular local rings without assuming equi-characteristic. As an application, we obtain the local-global principle for Galois cohomology over mixed characteristic two ...
Sakagaito, Makoto
doaj +5 more sources
Criterion for surjectivity of localization in Galois cohomology of a reductive group over a number field [PDF]
Comptes Rendus. Mathématique, 2023 Let $G$ be a connected reductive group over a number field $F$, and let $S$ be a set (finite or infinite) of places of $F$. We give a necessary and sufficient condition for the surjectivity of the localization map from $H^1(F,G)$ to the “direct sum” of ...
Borovoi, Mikhail
doaj +2 more sources
Cohomological Dimension and Schreier's Formula in Galois Cohomology [PDF]
Canadian Mathematical Bulletin, 2007 AbstractLet p be a prime and F a field containing a primitive p-th root of unity. Then for n ∈ N, the cohomological dimension of the maximal pro-p-quotient G of the absolute Galois group of F is at most n if and only if the corestriction maps are surjective for all open subgroups H of index p. Using this result, we generalize Schreier's formula for .
John Labute +3 more
openalex +4 more sources
Hermite’s theorem via Galois cohomology [PDF]
Archiv der Mathematik, 2019 6 ...
Matthew Brassil, Zinovy Reichstein
openalex +4 more sources
When is Galois cohomology free or trivial? [PDF]
, 2004 Let p be a prime and F a field containing a primitive pth root of unity. Let E/F be a cyclic extension of degree p and G_E < G_F the associated absolute Galois groups. We determine precise conditions for the cohomology group H^n(E)=H^n(G_E,Fp) to be free
Nicole Lemire +2 more
openalex +7 more sources
Galois cohomology revisited [PDF]
, 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 $\mathscr{A}_{V'}$.
Igor Nikolaev
openalex +3 more sources
Remark on Galois cohomology [PDF]
, 2023 Abstract We recast the Galois cohomology of the variety V over a number field k in terms of the K-theory of a C*-algebra 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 A_V is isomorphic (Morita equivalent, resp.) to A_V' In particular, the Morita equivalent C*-algebras
Igor Nikolaev
openalex +2 more sources
Generalized Bockstein maps and Massey products
Forum of Mathematics, Sigma, 2023 Given a profinite group G of finite p-cohomological dimension and a pro-p quotient H of G by a closed normal subgroup N, we study the filtration on the Iwasawa cohomology of N by powers of the augmentation ideal in the group algebra of H.
Yeuk Hay Joshua Lam +4 more
doaj +1 more source
Forum of Mathematics, Sigma, 2021 We construct a $(\mathfrak {gl}_2, B(\mathbb {Q}_p))$ and Hecke-equivariant cup product pairing between overconvergent modular forms and the local cohomology at $0$ of a sheaf on $\mathbb {P}^1$, landing in the compactly supported completed $\mathbb {C ...
Sean Howe
doaj +1 more source
Trilinear alternating forms and related CMLs and GECs [PDF]
International Journal of Group Theory, 2023 The classification of trivectors(trilinear alternating forms) depends essentially on the dimension $n$ of the base space. This classification seems to be a difficult problem (unlike in the bilinear case).
Noureddine Midoune, Mohamed Anouar Rakdi
doaj +1 more source