Kähler-Einstein metrics on Fano manifolds. III: Limits as cone angle approaches \boldmath2𝜋 and completion of the main proof
type: Item
instance of: scholarly article
title: Kähler-Einstein metrics on Fano manifolds. III: Limits as cone angle approaches \boldmath2𝜋 and completion of the main proof
zbMATH Open document ID: 1311.53059
DOI: 10.1090/S0894-0347-2014-00801-8
author: X.-X. Chen
author: Song Sun
author: S. K. Donaldson
published in: Journal of the American Mathematical Society
publication date: 2015-02-02T00:00:00Z
full work available at URL: https://arxiv.org/abs/1302.0282
Mathematics Subject Classification ID: 53C55
Mathematics Subject Classification ID: 14J45
Mathematics Subject Classification ID: 32Q20
zbMATH DE Number: 6394346
zbMATH Keywords: Kähler-Einstein metric
zbMATH Keywords: Fano manifolds
zbMATH Keywords: cone angle
zbMATH Keywords: K-stability
MaRDI profile type: Publication
Wikidata QID: Q56032318
arXiv ID: 1302.0282
cites work: Convergence and rigidity of manifolds under Ricci curvature bounds
cites work: Q4098875
cites work: Rolf Nevanlinna in memoriam
cites work: Kähler-Einstein metrics and the Kähler-Ricci flow on log Fano varieties
cites work: A Brunn-Minkowski type inequality for Fano manifolds and some uniqueness theorems in Kähler geometry
cites work: On the structure of spaces with Ricci curvature bounded below. II
cites work: Q3247581
cites work: Q3694298
cites work: The space of Kähler metrics.
cites work: Kähler–Einstein Metrics and Stability
cites work: Kähler-Einstein metrics on Fano manifolds. I: Approximation of metrics with cone singularities
cites work: Space of Ricci flows. I.
cites work: Semi-continuity of complex singularity exponents and Kähler-Einstein metrics on Fano orbifolds
cites work: Remarks on the existence problem of positive Kähler-Einstein metrics
cites work: Kähler-Einstein metrics and the generalized Futaki invariant
cites work: Scalar curvature and stability of toric varieties.
cites work: Stability, birational transformations and the Kahler-Einstein problem
cites work: Kähler Metrics with Cone Singularities Along a Divisor
cites work: Gromov-Hausdorff limits of Kähler manifolds and algebraic geometry. II
cites work: Singular Kähler-Einstein metrics
cites work: An obstruction to the existence of Einstein Kaehler metrics
cites work: Elliptic partial differential equations of second order
cites work: Q4873981
cites work: Q3995750
cites work: Kähler-Einstein metrics with edge singularities
cites work: Q4650504
cites work: Q4764210
cites work: A local curvature bound in Ricci flow
cites work: Sur la Structure du Groupe d’Homéomorphismes Analytiques d’une Certaine Variété Kaehlérinne
cites work: Testing log K-stability by blowing up formalism
cites work: Q5485638
cites work: Q3767949
cites work: K-stability of constant scalar curvature Kähler manifolds
cites work: Note on \(K\)-stability of pairs
cites work: On Calabi's conjecture for complex surfaces with positive first Chern class
cites work: Kähler-Einstein metrics with positive scalar curvature
cites work: Q5185420
cites work: Connections with \(L^ p \)bounds on curvature
cites work: On the ricci curvature of a compact kähler manifold and the complex monge-ampére equation, I
cites work: Q3137105
OpenAlex ID: W2962932885
description: scientific article; zbMATH DE number 6394346