Stable reductive varieties. II: Projective case

DOI10.1016/S0001-8708(03)00164-6zbMath1080.14017arXivmath/0207274MaRDI QIDQ1826891

Michel Brion, Valery Alexeev

Publication date: 6 August 2004

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

Full work available at URL: https://arxiv.org/abs/math/0207274

zbMATH Keywords

toric varietiesabelian varietiesreductive groupsminimal model programmodulispherical varietiespairslog minimal programstable reductive varieties

Mathematics Subject Classification ID

Noncommutative algebraic geometry (14A22) Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Representation theory for linear algebraic groups (20G05) Minimal model program (Mori theory, extremal rays) (14E30) Fine and coarse moduli spaces (14D22)

Related Items (20)

K-stability of Gorenstein Fano group compactifications with rank two ⋮ Rational smoothness, cellular decompositions and GKM theory ⋮ K-energy on polarized compactifications of Lie groups ⋮ Complete moduli spaces of branchvarieties ⋮ Kähler-Einstein metrics along the smooth continuity method ⋮ \(G\)-Sasaki manifolds and K-energy ⋮ Normality and smoothness of simple linear group compactifications ⋮ Kähler geometry of horosymmetric varieties, and application to Mabuchi's K-energy functional ⋮ On the algebraic stringy Euler number ⋮ Equivariant \(\mathbb{R}\)-test configurations and semistable limits of \(\mathbb{Q}\)-Fano group compactifications ⋮ Kähler-Ricci flow on Fano manifolds ⋮ Singular Kähler-Einstein metrics on \(\mathbb{Q}\)-Fano compactifications of Lie groups ⋮ Kähler–Einstein Metrics on Toric Manifolds and G-manifolds ⋮ Klt singularities of horospherical pairs ⋮ Kähler-Einstein metrics on group compactifications ⋮ Intersection cohomology of reductive varieties ⋮ Stable reductive varieties. I: Affine varieties ⋮ Tian's \(\alpha_{m,k}^{\hat{K}}\)-invariants on group compactifications ⋮ Implementation of Stanley's algorithm for projective group imbeddings ⋮ Mabuchi metrics and properness of the modified Ding functional

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