This article is cited in 3 papers

Smooth representations and sheaves

U. Jannsen^a, M. Rovinsky<sup>bc

a</sup> 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.

MSC: 12F20, 12G99, 14E99, 18E15, 18F10, 18F20, 43A65

Received: May 4, 2008; in revised form November 22, 2008

Language: English

DOI: 10.17323/1609-4514-2010-10-1-189-214

Bibliographic databases:

• 
•