Polyhedral divisors and \(SL_{2}\)-actions on affine \(T\)-varieties

DOI10.1307/mmj/1353098511zbMath1271.14090arXiv1105.4494OpenAlexW3105066666MaRDI QIDQ1931924

Alvaro Liendo, Ivan V. Arzhantsev

Publication date: 16 January 2013

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.4494

zbMATH Keywords

locally nilpotent derivationalgebraic toruspolyhedral divisor\(\mathfrak{sl}_2\)-triple\(SL_2\)-actionhorospherical action

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Group actions on varieties or schemes (quotients) (14L30) Derivations and commutative rings (13N15) Group actions on affine varieties (14R20)

Related Items (11)

Root subgroups on affine spherical varieties ⋮ Integral closure and operations of algebraic tori of complexity 1 in affine varieties ⋮ Sums and commutators of homogeneous locally nilpotent derivations of fiber type ⋮ Lie algebras of vertical derivations on semiaffine varieties with torus actions ⋮ Additive group actions on affine \(\mathbb{T}\)-varieties of complexity one in arbitrary characteristic ⋮ On restriction of roots on affine \(T\)-varieties ⋮ Commuting homogeneous locally nilpotent derivations ⋮ On rigidity of factorial trinomial hypersurfaces ⋮ On homogeneous locally nilpotent derivations of trinomial algebras ⋮ Homogeneous locally nilpotent derivations of nonfactorial trinomial algebras ⋮ Horizontal Ga-actions on affine T-varieties of complexity one

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