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This article is cited in 3 scientific papers (total in 3 papers)
Smooth representations and sheaves
U. Jannsena, M. Rovinskybc a NWF I-Mathematik, Universität Regensburg, Regensburg, Germany
b Institute for Information Transmission Problems of Russian Academy of Sciences, Moscow, Russia
c Independent University of Moscow, Moscow, Russia
Abstract:
The paper is concerned with a “geometrization” of smooth representations of the automorphism group of universal domains, and with the properties of “geometric” representations of such groups. As an application, we calculate the cohomology groups of several classes of smooth representations of the automorphism group of an algebraically closed extension of infinite transcendence degree of an algebraically closed field.
Key words and phrases:
automorphism groups of fields, smooth representations, Grothendieck topologies.
Received: May 4, 2008; in revised form November 22, 2008
Citation:
U. Jannsen, M. Rovinsky, “Smooth representations and sheaves”, Mosc. Math. J., 10:1 (2010), 189–214
Linking options:
https://www.mathnet.ru/eng/mmj377 https://www.mathnet.ru/eng/mmj/v10/i1/p189
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