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Simple groups of birational transformations in dimension two

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Christian Lucius Urech
2020

Abstract

We classify simple groups that act by birational transformations on compact complex Kahler surfaces. Moreover, we show that every finitely generated simple group that acts non-trivially by birational transformations on a projective surface over an arbitrary field is finite.

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https://infoscience.epfl.ch/entities/publication/cab1d499-e13f-4762-bb89-0d8c80af2b04

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