K-STABILITY OF FANO MANIFOLDS WITH NOT SMALL ALPHA INVARIANTS
type: Item
instance of: scholarly article
title: K-STABILITY OF FANO MANIFOLDS WITH NOT SMALL ALPHA INVARIANTS
DOI: 10.1017/S1474748017000111
author: Kento Fujita
published in: Journal of the Institute of Mathematics of Jussieu
publication date: 2019-05-07T00:00:00Z
full work available at URL: https://arxiv.org/abs/1606.08261
Mathematics Subject Classification ID: 14J45
Mathematics Subject Classification ID: 14L24
zbMATH DE Number: 7051728
zbMATH Keywords: Fano varieties
zbMATH Keywords: K-stability
zbMATH Keywords: Kähler-Einstein metrics
MaRDI profile type: Publication
cites work: Symmetries, quotients and Kähler-Einstein metrics
cites work: K-polystability of Q-Fano varieties admitting Kähler-Einstein metrics
cites work: Differentiability of volumes of divisors and a problem of Teissier
cites work: Uniform \(K\)-stability, Duistermaat-Heckman measures and singularities of pairs
cites work: Kähler-Einstein metrics on Fano manifolds. I: Approximation of metrics with cone singularities
cites work: Kähler-Einstein metrics on Fano manifolds. II: Limits with cone angle less than \boldmath2𝜋
cites work: Kähler-Einstein metrics on Fano manifolds. III: Limits as cone angle approaches \boldmath2𝜋 and completion of the main proof
cites work: Log canonical thresholds on hypersurfaces
cites work: Log canonical thresholds of del Pezzo surfaces
cites work: Total log canonical thresholds and generalized Eckardt points
cites work: Log canonical thresholds of certain Fano hypersurfaces
cites work: Log canonical thresholds of smooth Fano threefolds
cites work: Uniform Stability of Twisted Constant Scalar Curvature Kähler Metrics
cites work: On K-stability of finite covers
cites work: Bounds for log canonical thresholds with applications to birational rigidity
cites work: Kähler-Einstein metrics and the generalized Futaki invariant
cites work: Scalar curvature and stability of toric varieties.
cites work: Lower bounds on the Calabi functional
cites work: Restricted volumes and base loci of linear series
cites work: On the K-stability of Fano varieties and anticanonical divisors
cites work: On K-stability and the volume functions of ℚ-Fano varieties: Table 1.
cites work: A valuative criterion for uniform K-stability of \(\mathbb{Q}\)-Fano varieties
cites work: Introduction to Toric Varieties. (AM-131)
cites work: Finite generation and geography of models
cites work: Q4212603
cites work: Q4650505
cites work: Q4650504
cites work: Minimizing normalized volumes of valuations
cites work: K-semistability is equivariant volume minimization
cites work: Convex bodies associated to linear series
cites work: Special test configuration and \(K\)-stability of Fano varieties
cites work: On the lower order terms of the asymptotic expansion of Tian-Yau-Zelditch
cites work: Sur la Structure du Groupe d’Homéomorphismes Analytiques d’une Certaine Variété Kaehlérinne
cites work: Multiplier ideal sheaves and Kähler-Einstein metrics of positive scalar curvature
cites work: A generalization of the Ross-Thomas slope theory
cites work: Alpha invariant and K-stability of \(\mathbb Q\)-Fano varieties
cites work: Birational maps of del Pezzo fibrations
cites work: Birational geometry of Fano direct products
cites work: A study of the Hilbert-Mumford criterion for the stability of projective varieties
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: K‐Stability and Kähler‐Einstein Metrics
cites work: Kähler-Einstein metrics on complex surfaces with \(C_ 1>0\)
cites work: Height and GIT weight
cites work: Q4399451
description: scientific article; zbMATH DE number 7051728