Elements and cyclic subgroups of finite order of the Cremona group

Details Elements and cyclic subgroups of finite order of the Cremona group Elements and cyclic subgroups of finite order of the Cremona group

2008-09-26

arxiv.org/abs/0809.4673v2

Comment. Math. Helv. 86 (2011), no. 2, 469-497

Mathematics

Algebraic Geometry

30 pages, to appear in Comment. Math. Helv

Scientific paper

10.4171/CMH/231

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.

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