K-STABILITY OF FANO MANIFOLDS WITH NOT SMALL ALPHA INVARIANTS
From MaRDI portal
Publication:4634341
DOI10.1017/S1474748017000111MaRDI QIDQ4634341
Publication date: 7 May 2019
Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1606.08261
Related Items
K-semistable Fano manifolds with the smallest alpha invariant ⋮ The existence of the Kähler–Ricci soliton degeneration ⋮ K-stability of smooth del Pezzo surfaces ⋮ ON THE SHARPNESS OF TIAN’S CRITERION FOR K-STABILITY ⋮ K-stability of Fano varieties via admissible flags ⋮ K-stability of cubic fourfolds ⋮ Seshadri constants and K-stability of Fano manifolds ⋮ K-stability of birationally superrigid Fano 3-fold weighted hypersurfaces ⋮ On Fano threefolds of degree 22 after Cheltsov and Shramov ⋮ Higher codimensional alpha invariants and characterization of projective spaces ⋮ On K‐stability of some del Pezzo surfaces of Fano index 2 ⋮ Birational rigidity and K-stability of Fano hypersurfaces with ordinary double points ⋮ Valuative stability of polarised varieties ⋮ K-stability and birational models of moduli of quartic \(K3\) surfaces ⋮ Birational superrigidity and \(K\)-stability of Fano complete intersections of index \(1\) ⋮ Kähler-Einstein metrics ⋮ K-stability of Fano varieties: an algebro-geometric approach ⋮ Canonical and log canonical thresholds of Fano complete intersections ⋮ Kähler-Einstein metrics: old and new ⋮ Alpha-invariants and purely log terminal blow-ups ⋮ Uniform K-stability and plt blowups of log Fano pairs ⋮ A note on equivariant K-stability ⋮ Thresholds, valuations, and K-stability ⋮ Valuative invariants with higher moments ⋮ K-stability of birationally superrigid Fano varieties ⋮ Birational superrigidity and K-stability of projectively normal Fano manifolds of index one ⋮ Delta invariants of smooth cubic surfaces ⋮ \(K\)-stability of cubic threefolds ⋮ K-stability of log Fano hyperplane arrangements
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- K-polystability of Q-Fano varieties admitting Kähler-Einstein metrics
- Alpha invariant and K-stability of \(\mathbb Q\)-Fano varieties
- On Calabi's conjecture for complex surfaces with positive first Chern class
- Multiplier ideal sheaves and Kähler-Einstein metrics of positive scalar curvature
- Log canonical thresholds of del Pezzo surfaces
- K-stability of constant scalar curvature Kähler manifolds
- On Kähler-Einstein metrics on certain Kähler manifolds with \(C_ 1(M)>0\)
- Kähler-Einstein metrics on complex surfaces with \(C_ 1>0\)
- Kähler-Einstein metrics and the generalized Futaki invariant
- Kähler-Einstein metrics with positive scalar curvature
- Bounds for log canonical thresholds with applications to birational rigidity
- Minimizing normalized volumes of valuations
- K-semistability is equivariant volume minimization
- Uniform \(K\)-stability, Duistermaat-Heckman measures and singularities of pairs
- On the K-stability of Fano varieties and anticanonical divisors
- Scalar curvature and stability of toric varieties.
- A generalization of the Ross-Thomas slope theory
- Height and GIT weight
- Special test configuration and \(K\)-stability of Fano varieties
- A valuative criterion for uniform K-stability of \(\mathbb{Q}\)-Fano varieties
- Lower bounds on the Calabi functional
- Log canonical thresholds of certain Fano hypersurfaces
- Birational maps of del Pezzo fibrations
- Introduction to Toric Varieties. (AM-131)
- On K-stability of finite covers
- Sur la Structure du Groupe d’Homéomorphismes Analytiques d’une Certaine Variété Kaehlérinne
- Symmetries, quotients and Kähler-Einstein metrics
- A study of the Hilbert-Mumford criterion for the stability of projective varieties
- Log canonical thresholds of smooth Fano threefolds
- Differentiability of volumes of divisors and a problem of Teissier
- Restricted volumes and base loci of linear series
- Convex bodies associated to linear series
- Uniform Stability of Twisted Constant Scalar Curvature Kähler Metrics
- Total log canonical thresholds and generalized Eckardt points
- Log canonical thresholds on hypersurfaces
- On the lower order terms of the asymptotic expansion of Tian-Yau-Zelditch
- K‐Stability and Kähler‐Einstein Metrics
- Finite generation and geography of models
- On K-stability and the volume functions of ℚ-Fano varieties: Table 1.
- Birational geometry of Fano direct products
- Kähler-Einstein metrics on Fano manifolds. I: Approximation of metrics with cone singularities
- Kähler-Einstein metrics on Fano manifolds. II: Limits with cone angle less than \boldmath2𝜋
- Kähler-Einstein metrics on Fano manifolds. III: Limits as cone angle approaches \boldmath2𝜋 and completion of the main proof