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Russian Mathematical Surveys, 2007, Volume 62, Issue 6, Pages 1121–1186
DOI: https://doi.org/10.1070/RM2007v062n06ABEH004478 (Mi rm8515) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Automorphism groups of fields, and their representations

M. Z. Rovinskiiab

a Steklov Mathematical Institute, Russian Academy of Sciences
b Independent University of Moscow
English version PDF (1080 kB) Citations (3) Russian version article
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DOI: https://doi.org/10.1070/RM2007v062n06ABEH004478
Abstract: This article contains a study of the automorphism group $G$ of an extension $F|k$ of an algebraically closed field, and of smooth linear and semilinear representations of $G$. It is explained how the representation theory of $G$ is connected with birational geometry, algebraic cycles, motives, and other geometric questions.
Received: 04.08.2007
Bibliographic databases:
Document Type: Article
UDC: 512.546.4+512.623.23+512.73
MSC: Primary 12F10, 20B27, 20F29; Secondary 11F70, 14C25, 14C30, 14E07, 22D45
Language: English
Original paper language: Russian
Citation: M. Z. Rovinskii, “Automorphism groups of fields, and their representations”, Russian Math. Surveys, 62:6 (2007), 1121–1186
Citation in format AMSBIB
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\by M.~Z.~Rovinskii
\paper Automorphism groups of fields, and their representations
\jour Russian Math. Surveys
\yr 2007
\vol 62
\issue 6
\pages 1121--1186
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  • https://doi.org/10.1070/RM2007v062n06ABEH004478
  • https://www.mathnet.ru/eng/rm/v62/i6/p87
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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