Linearisation of finite abelian subgroups of the Cremona group of the plane

DOI10.4171/GGD/55zbMath1170.14009arXiv0704.0537MaRDI QIDQ1016447

Jérémy Blanc

Publication date: 5 May 2009

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0704.0537

zbMATH Keywords

rational surfacesconic bundleCremona transformationsbirationally conjugate

Mathematics Subject Classification ID

Birational automorphisms, Cremona group and generalizations (14E07) Group actions on varieties or schemes (quotients) (14L30)

Related Items (9)

Subgroups of odd order in the real plane Cremona group ⋮ Relations in the Cremona group over a perfect field ⋮ Automorphisms of real del Pezzo surfaces and the real plane Cremona group ⋮ Equivariant birational types and Burnside volume ⋮ Finite groups of birational transformations ⋮ Some properties of the group of birational maps generated by the automorphisms of \(\mathbb P^n_{\mathbb C}\) and the standard involution ⋮ Embeddings of \(\mathrm{SL}(2, \mathbb Z)\) into the Cremona group ⋮ The Bolza curve and some orbifold ball quotient surfaces ⋮ Equivariant minimal model program

Cites Work

• Unnamed Item
• On Cremona transformations of prime order
• \(p\)-elementary subgroups of the Cremona group
• Birational involutions of \({\mathbb{P}}^ 2\).

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