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arXiv · 1802.09258

Simple groups of birational transformations in dimension two

Christian Urech
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Abstract

We classify simple groups that act by birational transformations on compact complex K\"ahler 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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Christian Urech. 2018-02-26. Simple groups of birational transformations in dimension two. https://arxiv.org/abs/1802.09258

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