Existence of Einstein Metrics on Fano Manifolds
type: Item
instance of: scholarly article
title: Existence of Einstein Metrics on Fano Manifolds
zbMATH Open document ID: 1250.53044
DOI: 10.1007/978-3-0348-0257-4_5
author: Gang Tian
published in: Progress in Mathematics
publication date: 2012-08-28T00:00:00Z
Mathematics Subject Classification ID: 53C25
Mathematics Subject Classification ID: 14J45
Mathematics Subject Classification ID: 32Q20
zbMATH DE Number: 6072915
zbMATH Keywords: Kähler-Einstein metrics
zbMATH Keywords: Fano manifolds
zbMATH Keywords: holomorphic invariants
zbMATH Keywords: K-stability
zbMATH Keywords: compactness theorems
MaRDI profile type: Publication
full work available at URL: 978-3-0348-0257-4 5
OpenAlex ID: W151348382
cites work: On Complete Manifolds With Nonnegative Ricci Curvature
cites work: Blowing up and desingularizing constant scalar curvature Kähler manifolds
cites work: Q4098875
cites work: Réduction du cas positif de l'équation de Monge-Ampère sur les variétés Kählériennes compactes à la démonstration d'une inégalité
cites work: Q3782393
cites work: Q3948283
cites work: Deformation of Kähler metrics to Kähler-Einstein metrics on compact Kähler manifolds
cites work: Constraints on singularities under Ricci curvature bounds
cites work: Log canonical thresholds of del Pezzo surfaces
cites work: Log canonical thresholds of smooth Fano threefolds
cites work: Geometry of Kähler metrics and foliations by holomorphic discs
cites work: The Kähler Ricci flow on Fano manifolds. I
cites work: Semi-continuity of complex singularity exponents and Kähler-Einstein metrics on Fano orbifolds
cites work: Q4261608
cites work: Kähler-Einstein metrics and the generalized Futaki invariant
cites work: Scalar curvature and projective embeddings. I
cites work: Scalar curvature and stability of toric varieties.
cites work: Lower bounds on the Calabi functional
cites work: An obstruction to the existence of Einstein Kaehler metrics
cites work: Kähler-Einstein metrics and integral invariants
cites work: Some symplectic geometry on compact Kähler manifolds. I
cites work: Q4281710
cites work: Q3802189
cites work: Hyperdiscriminant polytopes, Chow polytopes, and Mabuchi energy asymptotics
cites work: Q3579561
cites work: Algebraic estimates, stability of local zeta functions, and uniform estimates for distribution functions
cites work: The Moser-Trudinger inequality on Kähler-Einstein manifolds
cites work: On energy functionals, Kähler-Einstein metrics, and the Moser-Trudinger-Onofri neighborhood
cites work: On the construction of Nadel multiplier ideal sheaves and the limiting behavior of the Ricci flow
cites work: BOUNDING SCALAR CURVATURE AND DIAMETER ALONG THE KÄHLER RICCI FLOW (AFTER PERELMAN)
cites work: On the \(\alpha \)-invariants of cubic surfaces with Eckardt points
cites work: K-stability of constant scalar curvature Kähler manifolds
cites work: On Kähler-Einstein metrics on certain Kähler manifolds with \(C_ 1(M)>0\)
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: Q4503254
cites work: Moduli spaces of critical Riemannian metrics in dimension four
cites work: A nonlinear inequality of Moser-Trudinger type
cites work: Uniqueness of Kähler-Ricci solitons.
cites work: Convergence of Kähler-Ricci flow
cites work: On the ricci curvature of a compact kähler manifold and the complex monge-ampére equation, I
cites work: The logarithmic Sobolev and Sobolev inequalities along the Ricci flow
reviewed by: Constantin Călin
description: scientific article; zbMATH DE number 6072915