Optimal destabilization of K-unstable Fano varieties via stability thresholds
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Publication:2108745
DOI10.2140/gt.2022.26.2507OpenAlexW2960662017MaRDI QIDQ2108745
Chuyu Zhou, Yuchen Liu, Harold Blum
Publication date: 20 December 2022
Published in: Geometry \& Topology (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1907.05399
Families, moduli, classification: algebraic theory (14J10) Fano varieties (14J45) Kähler-Einstein manifolds (32Q20)
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Cites Work
- Unnamed Item
- K-polystability of Q-Fano varieties admitting Kähler-Einstein metrics
- Kähler-Einstein metrics along the smooth continuity method
- Stability of valuations: higher rational rank
- Testing log K-stability by blowing up formalism
- Toroidal embeddings. I
- Stability of valuations and Kollár components
- Boundedness of weak Fano pairs with alpha-invariants and volumes bounded below
- Some discretizations of geometric evolution equations and the Ricci iteration on the space of Kähler metrics
- Optimal test-configurations for toric varieties
- Rational connectedness and boundedness of Fano manifolds
- Instability in invariant theory
- Kähler-Einstein metrics with positive scalar curvature
- Fano varieties with large Seshadri constants
- Kähler-Einstein metrics and volume minimization
- 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.
- Kähler-Ricci flow, Kähler-Einstein metric, and K-stability
- On the proper moduli spaces of smoothable Kähler-Einstein Fano varieties
- Twisted Kähler-Einstein metrics
- Uniqueness of the minimizer of the normalized volume function
- On properness of K-moduli spaces and optimal degenerations of Fano varieties
- Openness of K-semistability for Fano varieties
- Some criteria for uniform K-stability
- Finite generation for valuations computing stability thresholds and applications to K-stability
- A minimizing valuation is quasi-monomial
- The Kähler-Ricci flow and optimal degenerations
- Reductivity of the automorphism group of K-polystable Fano varieties
- On sharp lower bounds for Calabi-type functionals and destabilizing properties of gradient flows
- Optimal destabilizing centers and equivariant K-stability
- Special test configuration and \(K\)-stability of Fano varieties
- Uniqueness of \(\mathrm{K}\)-polystable degenerations of Fano varieties
- Thresholds, valuations, and K-stability
- Basis log canonical thresholds, local intersection estimates, and asymptotically log del Pezzo surfaces
- A valuative criterion for uniform K-stability of \(\mathbb{Q}\)-Fano varieties
- Lower bounds on the Calabi functional
- Greatest lower bounds on the Ricci curvature of Fano manifolds
- A Guided Tour to Normalized Volume
- Existence of minimal models for varieties of log general type
- On the construction of Nadel multiplier ideal sheaves and the limiting behavior of the Ricci flow
- ON STABILITY OF THE TANGENT BUNDLES OF FANO VARIETIES
- Geometric Invariant Theory
- Singularities of Pairs
- Variation of Log Canonical Thresholds in Linear Systems
- Uniform Stability of Twisted Constant Scalar Curvature Kähler Metrics
- Existence of valuations with smallest normalized volume
- The volume of singular Kähler–Einstein Fano varieties
- K-stability of log Fano hyperplane arrangements
- Openness of uniform K-stability in families of $Q$-Fano varieties
- Θ-stratifications, Θ-reductive stacks, and applications
- K-SEMISTABILITY OF OPTIMAL DEGENERATIONS
- Algebraicity of the metric tangent cones and equivariant K-stability
- A variational approach to the Yau–Tian–Donaldson conjecture
- Remarks on logarithmic K-stability
- Connexité rationnelle des variétés de Fano