WebWe study the de Rham cohomology of a semi-abelian variety defined over a field of characteristic zero, as welt ... construction d'un anneau de Barsotti-Tate, Ann. Math., no 3, 1982, p. 529-577. (41 A. GROTHENDIECK, Séminaire de Géométrie Algébrique 7, Groupes de Monodromie en géométrie algébrique, WebTate duality. In mathematics, Tate duality or Poitou–Tate duality is a duality theorem for Galois cohomology groups of modules over the Galois group of an algebraic number field …
A Short Course on Galois Cohomology - wstein
WebTate cohomology was created in the 1950s, based on Tate’s observation that the ZG-module Z with the trivial action admits a complete projective resolution [9]. It was further … WebJan 1, 1987 · With that as a start, Gdimension has played an important role in singularity theory [8, 30], cohomology theory of commutative rings [6,9] and representation theory of … nabl house
Comparison theorems between crystalline and etale cohomology: …
Web2.2. Farrell–Tate cohomology and Brown’s formula. To compute the relevant examples of Farrell– Tate cohomology of linear groups, we will use Brown’s formula for -rank 1, cf. [4, … Weblocal Tate duality, the structure of the absolute Galois group of a local field, extensions of global fields with restricted ramification, cohomology of the idèle and the idèle class groups, Poitou-Tate duality for finitely generated Galois modules, the Hasse principle, the theorem of Grunwald-Wang, Leopoldt's WebMar 7, 2024 · Generalizing Tate's results for tori, we give closed formulas for the abelian Galois cohomology groups H^1_ {ab} (F,G) and H^2_ {ab} (F,G) of a connected reductive group G over a global field F, and obtain formulas for the first nonabelian Galois cohomology set H^1 (F,G) of G and for the second Galois cohomology group H^2 (F,T) of an F-torus T ... nabl headquarters