On linearizing algebraic torus actions

DOI10.1016/0022-4049(82)90100-1zbMath0518.14026OpenAlexW2095207602MaRDI QIDQ1053767

Tatsuji Kambayashi, Peter Russell

Publication date: 1982

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(82)90100-1

zbMATH Keywords

linearity of algebraic torus action

Mathematics Subject Classification ID

Group actions on varieties or schemes (quotients) (14L30) Linear algebraic groups and related topics (20G99)

Related Items (14)

Right distributive quasigroups on algebraic varieties ⋮ Real torus actions on real affine algebraic varieties ⋮ Smooth contractible threefolds with hyperbolic \(\mathbb {G}_{m}\)-actions via polyhedral divisors ⋮ Affine pavings of Hessenberg varieties for semisimple groups ⋮ Uniformly rational varieties with torus action ⋮ Characterization of affine surfaces with a torus action by their automorphism groups ⋮ Iteration of Cox rings of klt singularities ⋮ Separable forms of \({{\mathbb{G}}_m}\)-actions on \({{\mathbb{A}}^3}\) ⋮ Weyl group covers for Brieskorn's resolutions in all characteristics and the integral cohomology of \(G/P\) ⋮ ℂ*-actions on ℂ³ are linearizable ⋮ Linearizing Certain Reductive Group Actions ⋮ Affine \(\mathbb{T}\)-varieties of complexity one and locally nilpotent derivations ⋮ Noncommutative Bialynicki-Birula Theorem ⋮ Cox rings and combinatorics

Cites Work

• Toroidal embeddings. I
• Automorphism group of a polynomial ring and algebraic group action on an affine space
• On affine-ruled rational surfaces
• On Zariski problem
• Affine surfaces containing cylinderlike open sets
• Some theorems on actions of algebraic groups
• Fixed Point Schemes
• TRIVIALITY OF VECTOR BUNDLES OVER THE AFFINE SPACE K ²
• ON PROJECTIVE MODULES OVER POLYNOMIAL RINGS
• Projective modules over polynomial rings
• Unnamed Item
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