K-stability of log Fano hyperplane arrangements

Abstract

In this article, we completely determine which log Fano hyperplane arrangements are uniformly K-stable, K-stable, K-polystable, K-semistable or not.

arXiv comment28 pages

References in corpus (5)

• A generalization of Ross-Thomas' slope theory
• A variational approach to the Yau-Tian-Donaldson conjecture
• Existence of valuations with smallest normalized volume
• Stable Configurations of Linear Subspaces and Quotient Coherent Sheaves
• K-stability of Fano manifolds with not small alpha invariants

Cited by in corpus (16)

• Optimal destabilizing centers and equivariant K-stability
• Optimal destabilization of K-unstable Fano varieties via stability thresholds
• Uniqueness of K-polystable degenerations of Fano varieties
• Wall crossing for K-moduli spaces of plane curves
• On the stability of extensions of tangent sheaves on Kähler-Einstein Fano / Calabi-Yau pairs
• Applications of the moduli continuity method to log K-stable pairs
• K-stability of cubic fourfolds
• K-moduli of curves on a quadric surface and K3 surfaces
• On the sharpness of Tian's criterion for K-stability
• Local models for conical Kähler-Einstein metrics
• On the uniform K-stability for some asymptotically log del Pezzo surfaces
• Polyhedral Kähler cone metrics on ${\mathbb{C}}^n$ singular at hyperplane arrangements
• On K-polystability for log del Pezzo pairs of Maeda type
• On the continuity of Weil-Petersson volumes of the moduli space weighted points on the projective line
• On K-stability of Fano weighted hypersurfaces
• On the volume of some Fano K-moduli spaces