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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 7 scientific papers (total in 7 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 (7)
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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
Russian version:
Matematicheskii Sbornik, 2020, Volume 211, Number 9, Pages 105–118
DOI: https://doi.org/10.4213/sm9335
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”, Mat. Sb., 211:9 (2020), 105–118; Sb. Math., 211:9 (2020), 1310–1322
Citation in format AMSBIB
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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