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Sbornik: Mathematics, 2020, Volume 211, Issue 9, Pages 1310–1322
DOI: https://doi.org/10.1070/SM9335 (Mi sm9335) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Bounded automorphism groups of compact complex surfaces

Yu. G. Prokhorov, C. A. Shramov

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
English version PDF (474 kB) Citations (8) Russian version article
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DOI: https://doi.org/10.1070/SM9335
Abstract: We classify compact complex surfaces whose groups of bimeromorphic selfmaps have bounded finite subgroups. We also prove that the stabilizer of a point in the automorphism group of a compact complex surface of zero Kodaira dimension, as well as the stabilizer of a point in the automorphism group of an arbitrary compact Kähler manifold of nonnegative Kodaira dimension, always has bounded finite subgroups.
Bibliography: 23 titles.
Keywords: elliptic surface, automorphism group.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-15-2019-1614
This work was performed at the Steklov International Mathematical Center and supported by the Ministry of Science and Higher Education of the Russian Federation (agreement no. 075-15-2019-1614).
Received: 02.10.2019 and 02.03.2020
Bibliographic databases:
Document Type: Article
UDC: 512.76
MSC: 14J50
Language: English
Original paper language: Russian
Citation: Yu. G. Prokhorov, C. A. Shramov, “Bounded automorphism groups of compact complex surfaces”, Sb. Math., 211:9 (2020), 1310–1322
Citation in format AMSBIB
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\paper Bounded automorphism groups of compact complex surfaces
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\yr 2020
\vol 211
\issue 9
\pages 1310--1322
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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