Commentarii Mathematici Helvetici


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Volume 86, Issue 2, 2011, pp. 469–497
DOI: 10.4171/CMH/231

Published online: 2011-02-27

Elements and cyclic subgroups of finite order of the Cremona group

Jérémy Blanc[1]

(1) Universität Basel, Switzerland

We give the classification of elements – respectively cyclic subgroups – of finite order of the Cremona group, up to conjugation. Natural parametrisations of conjugacy classes, related to fixed curves of positive genus, are provided.

Keywords: Cremona group, birational transformations, conjugacy classes, curves, surfaces, isomorphism classes, invariants, group cohomology, de Jonquières group

Blanc Jérémy: Elements and cyclic subgroups of finite order of the Cremona group. Comment. Math. Helv. 86 (2011), 469-497. doi: 10.4171/CMH/231