Classification of G -varieties of complexity 1

DOI10.1070/im1997v061n02ABEH000119zbMath0911.14022OpenAlexW2032761748MaRDI QIDQ4368457

Dmitry A. Timashev

Publication date: 4 May 1999

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

Full work available at URL: https://doi.org/10.1070/im1997v061n02abeh000119

zbMATH Keywords

complexity of group actionbiregular classification of algebraic varieties

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Birational automorphisms, Cremona group and generalizations (14E07) Group actions on varieties or schemes (quotients) (14L30)

Related Items

Polyhedral divisors and algebraic torus actions ⋮ On embeddings of homogeneous spaces with small boundary ⋮ Integral closure and operations of algebraic tori of complexity 1 in affine varieties ⋮ Polyhedral divisors and \(SL_{2}\)-actions on affine \(T\)-varieties ⋮ Contact structures of Sasaki type and their associated moduli ⋮ On the classification of normal \(G\)-varieties with spherical orbits ⋮ Additive group actions on affine \(\mathbb{T}\)-varieties of complexity one in arbitrary characteristic ⋮ Classification of Hamiltonian torus actions with two-dimensional quotients ⋮ Computation of Weyl groups of 𝐺-varieties ⋮ The Cox ring of a complexity-one horospherical variety ⋮ Centered complexity one Hamiltonian torus actions ⋮ Canonical singularities and horospherical actions ⋮ Torus invariant divisors ⋮ Polyhedral divisors and torus actions of complexity one over arbitrary fields ⋮ Decomposition theorem and torus actions of complexity one ⋮ Torus actions of complexity 1 and their local properties ⋮ Flexible affine cones and flexible coverings ⋮ Cartier divisors and geometry of normal \(G\)-varieties ⋮ Horizontal Ga-actions on affine T-varieties of complexity one