Optimal destabilizing centers and equivariant K-stability
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Publication:2238047
DOI10.1007/s00222-021-01046-0zbMath1483.14076arXiv2004.09413OpenAlexW3156641512MaRDI QIDQ2238047
Publication date: 29 October 2021
Published in: Inventiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2004.09413
Global differential geometry of Hermitian and Kählerian manifolds (53C55) Fano varieties (14J45) Notions of stability for complex manifolds (32Q26)
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Cites Work
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- Kähler-Einstein metrics along the smooth continuity method
- Alpha invariant and K-stability of \(\mathbb Q\)-Fano varieties
- On Calabi's conjecture for complex surfaces with positive first Chern class
- Stability of valuations and Kollár components
- Log canonical thresholds of del Pezzo surfaces
- On Kähler-Einstein metrics on certain Kähler manifolds with \(C_ 1(M)>0\)
- Instability in invariant theory
- Kähler-Einstein metrics with positive scalar curvature
- K-stability of smooth del Pezzo surfaces
- 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.
- A generalization of the Ross-Thomas slope theory
- Valuations and asymptotic invariants for sequences of ideals
- Height and GIT weight
- Uniform K-stability and plt blowups of log Fano pairs
- A note on equivariant K-stability
- Uniqueness of the minimizer of the normalized volume function
- On properness of K-moduli spaces and optimal degenerations of Fano varieties
- A minimizing valuation is quasi-monomial
- Reductivity of the automorphism group of K-polystable Fano varieties
- On positivity of the CM line bundle on K-moduli spaces
- Special test configuration and \(K\)-stability of Fano varieties
- Uniqueness of \(\mathrm{K}\)-polystable degenerations of Fano varieties
- Thresholds, valuations, and K-stability
- A valuative criterion for uniform K-stability of \(\mathbb{Q}\)-Fano varieties
- Sur la Structure du Groupe d’Homéomorphismes Analytiques d’une Certaine Variété Kaehlérinne
- Symmetries, quotients and Kähler-Einstein metrics
- Automorphism groups of Fano manifolds
- Existence of minimal models for varieties of log general type
- Log canonical thresholds of smooth Fano threefolds
- Degenerations of rationally connected varieties
- Introduction
- Finite Subgroups of the Plane Cremona Group
- Algebraicity of the metric tangent cones and equivariant K-stability
