Examples of K-unstable Fano manifolds

DOI10.5802/aif.3505zbMath1503.14047arXiv1911.08300OpenAlexW4288021743MaRDI QIDQ2673861

Thibaut Delcroix

Publication date: 21 September 2022

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.08300

zbMATH Keywords

Fano manifoldKähler-Einstein metricsK-stabilityhorosymmetric varietiesMabuchi soliton

Mathematics Subject Classification ID

Kähler-Einstein manifolds (32Q20) Compactifications; symmetric and spherical varieties (14M27)

Related Items (1)

A Yau-Tian-Donaldson correspondence on a class of toric fibrations

Cites Work

• Kähler-Einstein metrics on group compactifications
• Groupe de Picard et nombres caractéristiques des variétés sphériques. (Picard group and characteristic numbers of spheric varieties.)
• An obstruction to the existence of Einstein Kaehler metrics
• Kähler--Ricci solitons on toric manifolds with positive first Chern class
• Coupled complex Monge-Ampère equations on Fano horosymmetric manifolds
• Kähler geometry of horosymmetric varieties, and application to Mabuchi's K-energy functional
• Coupled Kähler-Ricci solitons on toric Fano manifolds
• Lectures on the structure of algebraic groups and geometric applications
• Sur les variétés analytiques complexes
• Sur la Structure du Groupe d’Homéomorphismes Analytiques d’une Certaine Variété Kaehlérinne
• K-stability of Fano spherical varieties
• Kähler-Ricci solitons on homogeneous toric bundles
• Variétés horosphériques de Fano
• Multiplier Hermitian structures on Kähler manifolds
• Examples of K-Unstable Fano Manifolds with the Picard Number 1
• Convergence of the Kähler–Ricci flow on Fano manifolds
• Coupled Kähler–Einstein Metrics

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