Openness of uniformly valuative stability on the Kähler cone of projective manifolds

DOI10.1007/s00209-023-03209-6OpenAlexW4318694095MaRDI QIDQ2697510

Yaxiong Liu

Publication date: 12 April 2023

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.02795

zbMATH Keywords

volume function\(\beta\)-invariantpositive intersection productuniformly valuatively stability

Mathematics Subject Classification ID

Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Compact Kähler manifolds: generalizations, classification (32J27) Transcendental methods of algebraic geometry (complex-analytic aspects) (32J25)

Related Items (1)

A non-Archimedean approach to K-stability. II: Divisorial stability and openness

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Kähler-Einstein metrics along the smooth continuity method
• Monge-Ampère equations in big cohomology classes
• Hamiltonian 2-forms in Kähler geometry. III: Extremal metrics and stability
• Extremal Kähler metrics and complex deformation theory
• Kähler-Einstein metrics with positive scalar curvature
• K-semistability is equivariant volume minimization
• Uniform \(K\)-stability, Duistermaat-Heckman measures and singularities of pairs
• K-stability for Kähler manifolds
• K-semistability of cscK manifolds with transcendental cohomology class
• On the K-stability of Fano varieties and anticanonical divisors
• Scalar curvature and stability of toric varieties.
• Kähler-Ricci flow, Kähler-Einstein metric, and K-stability
• An obstruction to the existence of Einstein Kaehler metrics
• Uniform K-stability and plt blowups of log Fano pairs
• Continuity of delta invariants and twisted Kähler-Einstein metrics
• On properness of K-moduli spaces and optimal degenerations of Fano varieties
• Openness of K-semistability for Fano varieties
• Finite generation for valuations computing stability thresholds and applications to K-stability
• Reductivity of the automorphism group of K-polystable Fano varieties
• On positivity of the CM line bundle on K-moduli spaces
• Uniqueness of \(\mathrm{K}\)-polystable degenerations of Fano varieties
• Thresholds, valuations, and K-stability
• Openness results for uniform K-stability
• A valuative criterion for uniform K-stability of \(\mathbb{Q}\)-Fano varieties
• Positivity of the CM line bundle for families of \(K\)-stable klt Fano varieties
• Extremal metrics and K-stability
• Differentiability of volumes of divisors and a problem of Teissier
• Uniform Stability of Twisted Constant Scalar Curvature Kähler Metrics
• Introduction
• The pseudo-effective cone of a compact Kähler manifold and varieties of negative Kodaira dimension
• A variational approach to the Yau–Tian–Donaldson conjecture
• Duality between the pseudoeffective and the movable cone on a projective manifold
• K‐Stability and Kähler‐Einstein Metrics
• Kähler-Einstein metrics on Fano manifolds. III: Limits as cone angle approaches \boldmath2𝜋 and completion of the main proof
• Intersection theory of nefb-divisor classes

This page was built for publication: Openness of uniformly valuative stability on the Kähler cone of projective manifolds