Tori in the Cremona groups

DOI10.1070/IM2013v077n04ABEH002659zbMath1278.14065arXiv1207.5205OpenAlexW3105190012MaRDI QIDQ2854096

Vladimir L. Popov

Publication date: 17 October 2013

Published in: Izvestiya: Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.5205

zbMATH Keywords

affine Cremona groupCremona groupalgebraic torusconjugate subgroupsfusion theoremsdiagonalizable algebraic grouptorsion primes

Mathematics Subject Classification ID

Birational automorphisms, Cremona group and generalizations (14E07) Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem) (14R10) Affine algebraic groups, hyperalgebra constructions (14L17)

Related Items (9)

Algebraic Elements of the Cremona Groups ⋮ On homomorphisms between Cremona groups ⋮ Jordan Groups and Automorphism Groups of Algebraic Varieties ⋮ Finite groups of birational transformations ⋮ Borel subgroups of Cremona groups ⋮ Some properties of the group of birational maps generated by the automorphisms of \(\mathbb P^n_{\mathbb C}\) and the standard involution ⋮ On degenerations of plane Cremona transformations ⋮ Three plots about the Cremona groups ⋮ Borel subgroups of the plane Cremona group

Cites Work

• Roots of the affine Cremona group
• Faisceaux algébriques cohérents
• Conjugacy classes of affine automorphisms of \(\mathbb K^n\) and linear automorphisms of \(\mathbb P^n\) in the Cremona groups
• Semisimple group actions on the three dimensional affine space are linear
• \(p\)-elementary subgroups of the Cremona group
• Regular elements of semisimple algebraic groups
• Théoremes de finitude en cohomologie galoisienne
• A note on automorphism groups of algebraic varieties
• Linear Algebra and Geometry
• The number of conjugacy classes of elements of the Cremona group of some given finite order
• Groupes de Cremona, connexité et simplicité
• ON SOME INFINITE-DIMENSIONAL GROUPS. II
• Invariant Theory
• ℂ*-actions on ℂ³ are linearizable
• Affine Algebraic Geometry
• On planar Cremona maps of prime order
• Sous-groupes algébriques de rang maximum du groupe de Cremona
• STABILITY CRITERIA FOR THE ACTION OF A SEMISIMPLE GROUP ON A FACTORIAL MANIFOLD
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