Roots of the affine Cremona group

DOI10.1007/s00031-011-9140-yzbMath1255.14036arXiv1010.4034OpenAlexW3105161180MaRDI QIDQ413945

Alvaro Liendo

Publication date: 8 May 2012

Published in: Transformation Groups (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.4034

zbMATH Keywords

affine Cremona grouplocally nilpotent derivationroot vectors

Mathematics Subject Classification ID

Birational automorphisms, Cremona group and generalizations (14E07) Algebraic groups (14Lxx)

Related Items

Characterization of \(n\)-dimensional normal affine \(\mathrm{SL}_n\)-varieties ⋮ On automorphisms of the affine Cremona group ⋮ Automorphism groups of affine varieties and a characterization of affine $n$-space ⋮ Characterization of affine surfaces with a torus action by their automorphism groups ⋮ Additive group actions on affine \(\mathbb{T}\)-varieties of complexity one in arbitrary characteristic ⋮ On restriction of roots on affine \(T\)-varieties ⋮ On homogeneous locally nilpotent derivations of trinomial algebras ⋮ Tori in the Cremona groups

Cites Work

• Affine \(\mathbb{T}\)-varieties of complexity one and locally nilpotent derivations
• Polyhedral divisors and algebraic torus actions
• Automorphism group of a polynomial ring and algebraic group action on an affine space
• Linear algebraic groups.
• Algebraic theory of locally nilpotent derivations
• Unnamed Item