Uniform \(K\)-stability, Duistermaat-Heckman measures and singularities of pairs
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Publication:1687881
DOI10.5802/aif.3096zbMath1391.14090arXiv1504.06568OpenAlexW2963066170MaRDI QIDQ1687881
Tomoyuki Hisamoto, Sébastien Boucksom, Mattias Jonsson
Publication date: 4 January 2018
Published in: Annales de l'Institut Fourier (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1504.06568
Group actions on varieties or schemes (quotients) (14L30) Minimal model program (Mori theory, extremal rays) (14E30)
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Cites Work
- Unnamed Item
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- Unnamed Item
- K-polystability of Q-Fano varieties admitting Kähler-Einstein metrics
- On the limit of spectral measures associated to a test configuration of a polarized Kähler manifold
- Alpha invariants and coercivity of the Mabuchi functional on Fano manifolds
- Conical Kähler-Einstein metrics revisited
- Alpha invariant and K-stability of \(\mathbb Q\)-Fano varieties
- The volume of an isolated singularity
- Universal covers and the GW/Kronecker correspondence
- Testing log K-stability by blowing up formalism
- Blowing up and desingularizing constant scalar curvature Kähler manifolds
- Asymptotic invariants of base loci
- The Mabuchi geometry of finite energy classes
- Positivity of direct image bundles and convexity on the space of Kähler metrics
- K-stability of constant scalar curvature Kähler manifolds
- Remarks on the existence problem of positive Kähler-Einstein metrics
- On the variation in the cohomology of the symplectic form of the reduced phase space
- Die Sätze von Bertini für lokale Ringe
- Kähler-Einstein metrics with positive scalar curvature
- Equivariant intersection theory (With an appendix by Angelo Vistoli: The Chow ring of \({\mathcal M}_2\))
- Scalar curvature and projective embeddings. I
- Riemann-Roch for equivariant Chow groups
- 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.
- An improved rounding method and semidefinite programming relaxation for graph partition
- Brunn-Minkowski inequality for multiplicities
- Note on \(K\)-stability of pairs
- The GIT stability of polarized varieties via discrepancy
- A generalization of the Ross-Thomas slope theory
- Valuations and asymptotic invariants for sequences of ideals
- Height and GIT weight
- Special test configuration and \(K\)-stability of Fano varieties
- Vanishing sequences and Okounkov bodies
- Towards a criterion for slope stability of Fano manifolds along divisors
- Filtrations and test-configurations
- Log-canonical models of singular pairs and its applications
- Kähler-Einstein metrics and the Kähler-Ricci flow on log Fano varieties
- Test configurations for \(k\)-stability and geodesic rays
- Deligne pairings and the Knudsen-Mumford expansion
- Lower bounds on the Calabi functional
- Toward a numerical theory of ampleness
- Ample subvarieties of algebraic varieties. Notes written in collaboration with C. Musili
- Singular semipositive metrics in non-Archimedean geometry
- On Berman–Gibbs stability and K-stability of -Fano varieties
- The Non-Archimedean Monge–Ampère Equation
- The Calabi Conjecture and K-stability
- Tian’s properness conjectures and Finsler geometry of the space of Kähler metrics
- Singularities and K-semistability
- Abhyankar places admit local uniformization in any characteristic
- A study of the Hilbert-Mumford criterion for the stability of projective varieties
- Existence of minimal models for varieties of log general type
- Convex bodies associated to linear series
- Characteristic classes in the Chow ring
- Uniform Stability of Twisted Constant Scalar Curvature Kähler Metrics
- The volume of singular Kähler–Einstein Fano varieties
- Uniform approximation of Abhyankar valuation ideals in smooth function fields
- Convex bodies associated to actions of reductive groups
- Test configurations and Okounkov bodies
- Introduction
- Okounkov bodies of filtered linear series
- Solution to a non-Archimedean Monge-Ampère equation
- K‐Stability and Kähler‐Einstein Metrics
- Kähler Metrics with Cone Singularities Along a Divisor
- Convexity of the 𝐾-energy on the space of Kähler metrics and uniqueness of extremal metrics
- On K-stability and the volume functions of ℚ-Fano varieties: Table 1.
- On Parametrization, optimization and triviality of test configurations
- Kähler-Einstein metrics on Fano manifolds. III: Limits as cone angle approaches \boldmath2𝜋 and completion of the main proof
- Discrete valuations centered on local domains
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