Kähler-Einstein metrics on Fano manifolds. I: Approximation of metrics with cone singularities
type: Item
instance of: scholarly article
title: Kähler-Einstein metrics on Fano manifolds. I: Approximation of metrics with cone singularities
zbMATH Open document ID: 1312.53096
DOI: 10.1090/S0894-0347-2014-00799-2
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/1211.4566
Mathematics Subject Classification ID: 53C55
Mathematics Subject Classification ID: 14J45
Mathematics Subject Classification ID: 32Q20
zbMATH DE Number: 6394344
zbMATH Keywords: Kähler-Einstein
zbMATH Keywords: Fano variety
zbMATH Keywords: approximation
zbMATH Keywords: cone singularities
zbMATH Keywords: Gromov-Hausdorff limit
MaRDI profile type: Publication
Wikidata QID: Q56032315
arXiv ID: 1211.4566
cites work: Q3832834
cites work: A thermodynamical formalism for Monge-Ampère equations, Moser-Trudinger inequalities and Kähler-Einstein metrics
cites work: A Brunn-Minkowski type inequality for Fano manifolds and some uniqueness theorems in Kähler geometry
cites work: Uniqueness and stability for the complex Monge-Ampere equation on compact Kahler manifolds
cites work: Improper affine hyperspheres of convex type and a generalization of a theorem by K. Jörgens
cites work: Metrics with cone singularities along normal crossing divisors and holomorphic tensor fields
cites work: On the structure of spaces with Ricci curvature bounded below. II
cites work: Q4508655
cites work: Kähler–Einstein Metrics and Stability
cites work: On the regularity of the monge-ampère equation det (∂2 u/∂xi ∂xj) = f(x, u)
cites work: Kähler Metrics with Cone Singularities Along a Divisor
cites work: Classical solutions of fully nonlinear, convex, second-order elliptic equations
cites work: Singular Kähler-Einstein metrics
cites work: Elliptic partial differential equations of second order
cites work: Kähler-Einstein metrics with edge singularities
cites work: The complex Monge-Ampère equation
cites work: Monge-Ampere equation on compact Kahler manifolds
cites work: Q4750171
cites work: Conical Kähler-Einstein metrics revisited
cites work: On the lower bound of the \(K\)-energy and \(F\)-functional
cites work: Holomorphic mappings of complex manifolds
cites work: Greatest lower bounds on the Ricci curvature of Fano manifolds
cites work: Complete Kahler Manifolds with Zero Ricci Curvature. I
cites work: On the ricci curvature of a compact kähler manifold and the complex monge-ampére equation, I
OpenAlex ID: W2963305022
description: scientific article; zbMATH DE number 6394344