ACC for local volumes and boundedness of singularities
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Publication:6115953
DOI10.1090/jag/799arXiv2011.06509OpenAlexW3099091362MaRDI QIDQ6115953
Jing Jun Han, Yuchen Liu, Lu Qi
Publication date: 13 July 2023
Published in: Journal of Algebraic Geometry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2011.06509
Singularities in algebraic geometry (14B05) Minimal model program (Mori theory, extremal rays) (14E30)
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Cites Work
- On minimal log discrepancies on varieties with fixed Gorenstein index
- Gromov-Hausdorff limits of Kähler manifolds and algebraic geometry
- Boundedness of log Calabi-Yau pairs of Fano type
- Stability of valuations: higher rational rank
- Calabi-Yau manifolds with isolated conical singularities
- Étale fundamental groups of Kawamata log terminal spaces, flat sheaves, and quotients of abelian varieties
- ACC for log canonical thresholds
- Stability of valuations and Kollár components
- Multiplier ideals of sums via cellular resolutions
- Shokurov's ACC conjecture for log canonical thresholds on smooth varieties
- Explicit Gromov-Hausdorff compactifications of moduli spaces of Kähler-Einstein Fano manifolds
- Kähler-Einstein metrics and volume minimization
- Functorial desingularization over \(\mathbb Q\): boundaries and the embedded case
- Minimizing normalized volumes of valuations
- On the K-stability of Fano varieties and anticanonical divisors
- 3-fold log models
- The GIT stability of polarized varieties via discrepancy
- Valuations and asymptotic invariants for sequences of ideals
- Uniform K-stability and plt blowups of log Fano pairs
- Boundedness of \((\epsilon, n)\)-complements for surfaces
- An optimal gap of minimal log discrepancies of threefold non-canonical singularities
- The normalized volume of a singularity is lower semicontinuous
- Uniqueness of the minimizer of the normalized volume function
- The local fundamental group of a Kawamata log terminal singularity is finite
- Openness of K-semistability for Fano varieties
- The uniform version of Yau-Tian-Donaldson conjecture for singular Fano varieties
- A minimizing valuation is quasi-monomial
- Birational boundedness of rationally connected Calabi-Yau 3-folds
- Optimal destabilizing centers and equivariant K-stability
- Special test configuration and \(K\)-stability of Fano varieties
- Anti-pluricanonical systems on Fano varieties
- Thresholds, valuations, and K-stability
- \(K\)-stability of cubic threefolds
- Kähler-Einstein metrics and the Kähler-Ricci flow on log Fano varieties
- Algebraic approximation of structures over complete local rings
- Note on multiplicities of ideals
- Singularities of linear systems and boundedness of Fano varieties
- K-stability of cubic fourfolds
- Log canonical thresholds on varieties with bounded singularities
- A Guided Tour to Normalized Volume
- Boundedness of Q-Fano varieties with degrees and alpha-invariants bounded from below
- Formulas for multiplier ideals on singular varieties
- Existence of minimal models for varieties of log general type
- Degenerations of rationally connected varieties
- On 3-dimensional terminal singularities
- Variation of Log Canonical Thresholds in Linear Systems
- Optimal bounds for the volumes of Kähler-Einstein Fano manifolds
- Existence of valuations with smallest normalized volume
- The volume of singular Kähler–Einstein Fano varieties
- Uniform approximation of Abhyankar valuation ideals in smooth function fields
- Introduction
- On birational boundedness of Fano fibrations
- A refinement of Izumi's Theorem
- Bounded deformations of $(\epsilon,\delta)$-log canonical singularities
- Applications of the moduli continuity method to log K‐stable pairs
- A gap theorem for minimal log discrepancies of noncanonical singularities in dimension three
- Openness of uniform K-stability in families of $Q$-Fano varieties
- Algebraicity of the metric tangent cones and equivariant K-stability
- A variational approach to the Yau–Tian–Donaldson conjecture
- K‐Stability and Kähler‐Einstein Metrics
- Finiteness of algebraic fundamental groups
- Kähler-Einstein metrics on Fano manifolds. III: Limits as cone angle approaches \boldmath2𝜋 and completion of the main proof
- On equivalent conjectures for minimal log discrepancies on smooth threefolds
- K-MODULI OF CURVES ON A QUADRIC SURFACE AND K3 SURFACES
- Pure log terminal blow-ups
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