Algebraicity of the metric tangent cones and equivariant K-stability

DOI10.1090/jams/974zbMath1475.14062arXiv1805.03393OpenAlexW3123719017MaRDI QIDQ5152337

Chi Li, Xiaowei Wang, Chen Yang Xu

Publication date: 20 September 2021

Published in: Journal of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.03393

Mathematics Subject Classification ID

Singularities of surfaces or higher-dimensional varieties (14J17) Fano varieties (14J45)

Related Items (35)

Volume and Monge-Ampère energy on polarized affine varieties ⋮ K-MODULI OF CURVES ON A QUADRIC SURFACE AND K3 SURFACES ⋮ The existence of the Kähler–Ricci soliton degeneration ⋮ Equivariant K-stability under finite group action ⋮ ON THE SHARPNESS OF TIAN’S CRITERION FOR K-STABILITY ⋮ Kähler-Einstein metrics on Pasquier's two-orbits varieties ⋮ Finite generation for valuations computing stability thresholds and applications to K-stability ⋮ K-stability of cubic fourfolds ⋮ On deformation spaces of toric singularities and on singularities of K-moduli of Fano varieties ⋮ Spherical cones: classification and a volume minimization principle ⋮ On the lower boundedness of modified \(K\)-energy ⋮ No semistability at infinity for Calabi-Yau metrics asymptotic to cones ⋮ Equivariant \(\mathbb{R}\)-test configurations and semistable limits of \(\mathbb{Q}\)-Fano group compactifications ⋮ ACC for local volumes and boundedness of singularities ⋮ Algebraic uniqueness of Kähler-Ricci flow limits and optimal degenerations of Fano varieties ⋮ Higher regularity for singular Kähler-Einstein metrics ⋮ Canonical Kähler metrics and stability of algebraic varieties ⋮ On local stability threshold of del Pezzo surfaces ⋮ On boundedness of singularities and minimal log discrepancies of Kollár components ⋮ Torus Equivariant K-Stability ⋮ On K‐stability of some del Pezzo surfaces of Fano index 2 ⋮ Conical Calabi-Yau metrics on toric affine varieties and convex cones ⋮ Uniqueness of tangent cone of Kähler-Einstein metrics on singular varieties with crepant singularities ⋮ A 1-dimensional component of K-moduli of del Pezzo surfaces ⋮ Singularities. Abstracts from the workshop held September 26 -- October 2, 2021 (hybrid meeting) ⋮ K-stability and birational models of moduli of quartic \(K3\) surfaces ⋮ Stability of valuations: higher rational rank ⋮ Optimal destabilizing centers and equivariant K-stability ⋮ Uniqueness of \(\mathrm{K}\)-polystable degenerations of Fano varieties ⋮ On properness of K-moduli spaces and optimal degenerations of Fano varieties ⋮ Delta invariants of projective bundles and projective cones of Fano type ⋮ Openness of K-semistability for Fano varieties ⋮ The moduli space of Fano manifolds with Kähler-Ricci solitons ⋮ Optimal destabilization of K-unstable Fano varieties via stability thresholds ⋮ Approximating delta invariants in the sense of plt complements

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