Complex tori, theta groups and their Jordan properties

Zarhin, Yuri G.

doi:10.1134/S0081543819060026

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Complex tori, theta groups and their Jordan properties

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Zarhin, Yuri G.
Max Planck Institute for Mathematics, Max Planck Society;

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https://doi.org/10.1134/S0081543819060026
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1902.06184.pdf
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Citation

Zarhin, Y. G. (2019). Complex tori, theta groups and their Jordan properties. Proceedings of the Steklov Institute of Mathematics, 307, 22-50. doi:10.1134/S0081543819060026.

Cite as: https://hdl.handle.net/21.11116/0000-0006-7B73-F

Abstract

We prove that an analogue 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.