Complex Tori, Theta Groups and Their Jordan Properties

Yuri G. Zarhin

doi:10.1134/S0081543819060026

Complex Tori, Theta Groups and Their Jordan Properties

Yuri G. Zarhin

Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

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.

Original language	English (US)
Pages (from-to)	22-50
Number of pages	29
Journal	Proceedings of the Steklov Institute of Mathematics
Volume	307
Issue number	1
DOIs	https://doi.org/10.1134/S0081543819060026
State	Published - Nov 1 2019

All Science Journal Classification (ASJC) codes

Mathematics (miscellaneous)

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10.1134/S0081543819060026

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title = "Complex Tori, Theta Groups and Their Jordan Properties",

abstract = "We prove that an analog of Jordan{\textquoteright}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.",

author = "Zarhin, {Yuri G.}",

note = "Funding Information: The work was supported in part by the Simons Foundation Collaboration Grant no. 585711. Acknowledgments Publisher Copyright: {\textcopyright} 2019, Pleiades Publishing, Ltd.",

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Complex Tori, Theta Groups and Their Jordan Properties

Abstract

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