Simple groups of birational transformations in dimension two

  • Christian Urech

    Ecole Polytechnique Fédérale de Lausanne, Switzerland
Simple groups of birational transformations in dimension two cover
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Abstract

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

Cite this article

Christian Urech, Simple groups of birational transformations in dimension two. Comment. Math. Helv. 95 (2020), no. 2, pp. 211–246

DOI 10.4171/CMH/486