Finite abelian subgroups of the Cremona group of the plane

DOI10.1016/j.crma.2006.11.026zbMath1111.14003arXivmath/0610368OpenAlexW2170478816MaRDI QIDQ866580

Jérémy Blanc

Publication date: 14 February 2007

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0610368

zbMATH Keywords

Cremona groupbirational maps

Mathematics Subject Classification ID

Birational automorphisms, Cremona group and generalizations (14E07) Rational and birational maps (14E05)

Related Items

Centralizers of elements of infinite order in plane Cremona groups ⋮ Classification of \(K3\)-surfaces with involution and maximal symplectic symmetry ⋮ Sofic profile and computability of Cremona groups ⋮ The number of conjugacy classes of elements of the Cremona group of some given finite order ⋮ Equivariant birational geometry of quintic del Pezzo surface ⋮ A connection between birational automorphisms of the plane and linear systems of curves ⋮ A counter-example to the equivariance structure on semi-universal deformation ⋮ Algebraic subgroups of the Cremona group ⋮ On the inertia group of elliptic curves in the Cremona group of the plane ⋮ On birational transformations of pairs in the complex plane ⋮ Convergence of the Kähler-Ricci flow and multiplier ideal sheaves on del Pezzo surfaces

Cites Work

• On Cremona transformations of prime order
• \(p\)-elementary subgroups of the Cremona group
• On planar Cremona maps of prime order
• RATIONAL SURFACES OVER PERFECT FIELDS. II
• Birational involutions of \({\mathbb{P}}^ 2\).
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