This article is cited in 2 scientific papers (total in 2 papers)
Stable cohomology of groups and algebraic varieties
F. A. Bogomolov
The notion of stable cohomology of algebraic varieties and, based on it, the analogous concept for finite and profinite groups are introduced. It is proved that the ordinary and stable cohomology coincide for the Galois group of the algebraic closure of a function field with an algebraically closed constant field of characteristic zero, and also that the unramified cohomology of this Galois group with coefficients in a module with trivial group action coincides with the unramified cohomology groups of a variety having a given field of rational functions.
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Russian Academy of Sciences. Sbornik. Mathematics, 1993, 76:1, 1–21
MSC: Primary 14F20, 14F30, 11G35, 14C35, 11S25; Secondary 14M20, 14L30, 11S31, 20J06, 20G10
F. A. Bogomolov, “Stable cohomology of groups and algebraic varieties”, Mat. Sb., 183:5 (1992), 3–28; Russian Acad. Sci. Sb. Math., 76:1 (1993), 1–21
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\paper Stable cohomology of groups and algebraic varieties
\jour Mat. Sb.
\jour Russian Acad. Sci. Sb. Math.
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This publication is cited in the following articles:
F. A. Bogomolov, “Linear tori with the action of finite groups”, Math. Notes, 57:5 (1995), 445–449
Fedor Bogomolov, Tihomir Petrov, “Unramified cohomology of alternating groups”, centr.eur.j.math, 2011
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