Simple groups of birational transformations in dimension two

Published 26 Feb 2018 in math.AG and math.GR | (1802.09258v1)

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

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