Elements and cyclic subgroups of finite order of the Cremona group

Abstract

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.

30 pages, to appear in Comment. Math. Helv

Cited by in corpus (7)

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• Elements generating a proper normal subgroup of the Cremona group
• Borel subgroups of the plane Cremona group
• Mapping classes fixing an isotropic homology class of minimal genus $0$ in rational $4$-manifolds