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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2019, Volume 307, Pages 32–62
DOI: https://doi.org/10.4213/tm4033 (Mi tm4033) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Complex Tori, Theta Groups and Their Jordan Properties

Yuri G. Zarhin

Department of Mathematics, Pennsylvania State University, University Park, PA 16802, USA
Full-text PDF (349 kB) Citations (6)
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DOI: https://doi.org/10.4213/tm4033
Abstract: We prove that an analog of Jordan's theorem on finite subgroups of general linear groups does not hold for the group of bimeromorphic automorphisms of a product of the complex projective line and a complex torus of positive algebraic dimension.
Keywords: complex tori, theta groups, Jordan properties.
Funding agency Grant number
Simons Foundation 585711
The work was supported in part by the Simons Foundation Collaboration Grant no. 585711.
Received: March 18, 2019
Revised: July 21, 2019
Accepted: October 15, 2019
English version:
Proceedings of the Steklov Institute of Mathematics, 2019, Volume 307, Pages 22–50
DOI: https://doi.org/10.1134/S0081543819060026
Bibliographic databases:
Document Type: Article
UDC: 515.177.4
MSC: 14E07; 14K05, 32J18
Language: Russian
Citation: Yuri G. Zarhin, “Complex Tori, Theta Groups and Their Jordan Properties”, Algebra, number theory, and algebraic geometry, Collected papers. Dedicated to the memory of Academician Igor Rostislavovich Shafarevich, Trudy Mat. Inst. Steklova, 307, Steklov Mathematical Institute of RAS, Moscow, 2019, 32–62; Proc. Steklov Inst. Math., 307 (2019), 22–50
Citation in format AMSBIB
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\paper Complex Tori, Theta Groups and Their Jordan Properties
\inbook Algebra, number theory, and algebraic geometry
\bookinfo Collected papers. Dedicated to the memory of Academician Igor Rostislavovich Shafarevich
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\vol 307
\pages 32--62
\publ Steklov Mathematical Institute of RAS
\publaddr Moscow
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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