K-stability of Gorenstein Fano group compactifications with rank two

DOI10.1142/S0129167X22500835OpenAlexW4296987526MaRDI QIDQ5057038

Kyeong-Dong Park, Jae-Hyouk Lee, Sungmin Yoo

Publication date: 14 December 2022

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.11058

zbMATH Keywords

Kähler-Ricci flowmoment polytopesequivariant K-stabilitysingular Kähler-Einstein metricsGorenstein Fano group compactificationsgreatest Ricci lower bounds

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Kähler-Einstein manifolds (32Q20) Almost homogeneous manifolds and spaces (32M12) Compactifications; symmetric and spherical varieties (14M27)

Cites Work

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• Kähler-Einstein metrics along the smooth continuity method
• Fano symmetric varieties with low rank
• Kähler-Einstein metrics on group compactifications
• Homogeneous spaces and equivariant embeddings
• Greatest lower bounds on Ricci curvature for toric Fano manifolds
• Gorenstein spherical Fano varieties
• Plongements d'espaces homogènes
• Groupe de Picard et nombres caractéristiques des variétés sphériques. (Picard group and characteristic numbers of spheric varieties.)
• Some discretizations of geometric evolution equations and the Ricci iteration on the space of Kähler metrics
• Geometrical description of smooth projective symmetric varieties with Picard number one
• Deformation of Kähler metrics to Kähler-Einstein metrics on compact Kähler manifolds
• On Kähler-Einstein metrics on certain Kähler manifolds with \(C_ 1(M)>0\)
• Einstein-Kähler forms, Futaki invariants and convex geometry on toric Fano varieties
• Kähler-Einstein metrics with positive scalar curvature
• Yau-Tian-Donaldson correspondence for K-semistable Fano manifolds
• Embeddings of spherical homogeneous spaces
• On the K-stability of Fano varieties and anticanonical divisors
• Stable reductive varieties. II: Projective case
• Kähler--Ricci solitons on toric manifolds with positive first Chern class
• \(G\)-uniform stability and Kähler-Einstein metrics on Fano varieties
• The double Cayley Grassmannian
• Basis log canonical thresholds, local intersection estimates, and asymptotically log del Pezzo surfaces
• Kähler-Einstein metrics and the Kähler-Ricci flow on log Fano varieties
• On \(k\)-stability of reductive varieties
• Greatest lower bounds on the Ricci curvature of Fano manifolds
• K-stability of Fano spherical varieties
• On the construction of Nadel multiplier ideal sheaves and the limiting behavior of the Ricci flow
• ON STABILITY OF THE TANGENT BUNDLES OF FANO VARIETIES
• Equivariant compactifications of reductive groups
• Delta-invariants for Fano varieties with large automorphism groups
• A variational approach to the Yau–Tian–Donaldson conjecture
• K‐Stability and Kähler‐Einstein Metrics
• Kähler-Einstein metrics on Fano manifolds. I: Approximation of metrics with cone singularities
• Kähler-Einstein metrics on Fano manifolds. II: Limits with cone angle less than \boldmath2𝜋
• Kähler-Einstein metrics on Fano manifolds. III: Limits as cone angle approaches \boldmath2𝜋 and completion of the main proof
• Remarks on Kähler-Einstein Manifolds

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