K-semistability is equivariant volume minimization
From MaRDI portal
Publication:1681619
DOI10.1215/00127094-2017-0026zbMath1409.14008arXiv1512.07205OpenAlexW3099790033MaRDI QIDQ1681619
Publication date: 24 November 2017
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1512.07205
Kähler-Einstein metricsvolume minimizationnormalized volumereal valuationsDing semistabilityK-semistability
Singularities in algebraic geometry (14B05) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Valuations and their generalizations for commutative rings (13A18) Approximation by convex sets (52A27)
Related Items (81)
K-polystability of 3-dimensional log Fano pairs of Maeda type ⋮ K-semistable Fano manifolds with the smallest alpha invariant ⋮ K-MODULI OF CURVES ON A QUADRIC SURFACE AND K3 SURFACES ⋮ The existence of the Kähler–Ricci soliton degeneration ⋮ On the stability of extensions of tangent sheaves on Kähler-Einstein Fano/Calabi-Yau pairs ⋮ Kähler-Einstein metrics and volume minimization ⋮ On uniform K-stability for some asymptotically log del Pezzo surfaces ⋮ Equivariant K-stability under finite group action ⋮ Minimizing normalized volumes of valuations ⋮ ON THE SHARPNESS OF TIAN’S CRITERION FOR K-STABILITY ⋮ Kähler-Einstein metrics on Pasquier's two-orbits varieties ⋮ The stability threshold and Diophantine approximation ⋮ Finite generation for valuations computing stability thresholds and applications to K-stability ⋮ K-stability of Fano varieties via admissible flags ⋮ Basis log canonical thresholds, local intersection estimates, and asymptotically log del Pezzo surfaces ⋮ K-stability of cubic fourfolds ⋮ Spherical cones: classification and a volume minimization principle ⋮ Seshadri constants and K-stability of Fano manifolds ⋮ K-STABLE DIVISORS IN OF DEGREE ⋮ Expectations, concave transforms, Chow weights and Roth's theorem for varieties ⋮ K-stability of Fano threefolds of rank 4 and degree 24 ⋮ K-stability of birationally superrigid Fano 3-fold weighted hypersurfaces ⋮ Openness results for uniform K-stability ⋮ Uniform \(K\)-stability, Duistermaat-Heckman measures and singularities of pairs ⋮ A non-Archimedean approach to K-stability. II: Divisorial stability and openness ⋮ On wall-crossing for \(K\)-stability ⋮ Algebraic uniqueness of Kähler-Ricci flow limits and optimal degenerations of Fano varieties ⋮ Canonical Kähler metrics and stability of algebraic varieties ⋮ K-polystability of two smooth Fano threefolds ⋮ On Fano threefolds of degree 22 after Cheltsov and Shramov ⋮ On local stability threshold of del Pezzo surfaces ⋮ K-stable smooth Fano threefolds of Picard rank two ⋮ Algebraic geometry: moduli spaces, birational geometry and derived aspects. Abstracts from the workshop held July 10--16, 2022 ⋮ Seshadri constants and Okounkov bodies revisited ⋮ GIT Stability, K-Stability and the Moduli Space of Fano Varieties ⋮ Higher codimensional alpha invariants and characterization of projective spaces ⋮ Toric geometry. Abstracts from the workshop held March 27 -- April 2, 2022 ⋮ Global pluripotential theory over a trivially valued field ⋮ Effective semi-ampleness of Hodge line bundles on curves ⋮ On K-semistable domains — more examples ⋮ Emergent complex geometry ⋮ A relative Yau-Tian-Donaldson conjecture and stability thresholds ⋮ On singular del Pezzo hypersurfaces of index 3 ⋮ On the Cheltsov-Rubinstein conjecture ⋮ Ricci curvature in Kähler geometry ⋮ Birational rigidity and K-stability of Fano hypersurfaces with ordinary double points ⋮ Openness of uniformly valuative stability on the Kähler cone of projective manifolds ⋮ Valuative stability of polarised varieties ⋮ Reductivity of the automorphism group of K-polystable Fano varieties ⋮ K-stability and birational models of moduli of quartic \(K3\) surfaces ⋮ On K-polystability for log del Pezzo pairs of Maeda type ⋮ On positivity of the CM line bundle on K-moduli spaces ⋮ Delta-invariants for Fano varieties with large automorphism groups ⋮ Birational superrigidity and \(K\)-stability of Fano complete intersections of index \(1\) ⋮ Kähler-Einstein metrics ⋮ K-STABILITY OF FANO MANIFOLDS WITH NOT SMALL ALPHA INVARIANTS ⋮ A Guided Tour to Normalized Volume ⋮ Existence of valuations with smallest normalized volume ⋮ Stability of valuations: higher rational rank ⋮ Algebraicity of the metric tangent cones and equivariant K-stability ⋮ Optimal destabilizing centers and equivariant K-stability ⋮ K-stability of Fano varieties: an algebro-geometric approach ⋮ The volume of singular Kähler–Einstein Fano varieties ⋮ Uniform K-stability and plt blowups of log Fano pairs ⋮ Uniqueness of \(\mathrm{K}\)-polystable degenerations of Fano varieties ⋮ A note on equivariant K-stability ⋮ The normalized volume of a singularity is lower semicontinuous ⋮ On properness of K-moduli spaces and optimal degenerations of Fano varieties ⋮ Thresholds, valuations, and K-stability ⋮ K-stability of birationally superrigid Fano varieties ⋮ Hilbert-Kunz multiplicity of fibers and Bertini theorems ⋮ \(G\)-uniform stability and Kähler-Einstein metrics on Fano varieties ⋮ Product theorem for K-stability ⋮ Openness of K-semistability for Fano varieties ⋮ \(K\)-stability of cubic threefolds ⋮ Stability of valuations and Kollár components ⋮ The uniform version of Yau-Tian-Donaldson conjecture for singular Fano varieties ⋮ K-stability of log Fano hyperplane arrangements ⋮ Optimal destabilization of K-unstable Fano varieties via stability thresholds ⋮ K-stability of log del Pezzo hypersurfaces with index 2 ⋮ Approximating delta invariants in the sense of plt complements
This page was built for publication: K-semistability is equivariant volume minimization