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

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

(2023) Yaxiong Liu   MATHEMATISCHE ZEITSCHRIFT

Valuative stability of polarised varieties

(2022) Ruadhaí Dervan et al.   MATHEMATISCHE ANNALEN

Finite generation for valuations computing stability thresholds and applications to K-stability

(2022) Yuchen Liu et al.   ANNALS OF MATHEMATICS

Optimal destabilization of K–unstable Fano varieties via stability thresholds

(2022) Harold Blum et al.   GEOMETRY & TOPOLOGY

Continuity of delta invariants and twisted Kähler–Einstein metrics

(2021) Kewei Zhang   ADVANCES IN MATHEMATICS

Thresholds, valuations, and K-stability

(2020) Harold Blum et al.   ADVANCES IN MATHEMATICS

A variational approach to the Yau-Tian-Donaldson conjecture

(2020) Robert J. Berman et al.   JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY

On the constant scalar curvature Kähler metrics II–Existence results

(2020) Xiuxiong Chen et al.   JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY

On the K-stability of Fano varieties and anticanonical divisors

(2019) Kento Fujita et al.   TOHOKU MATHEMATICAL JOURNAL

Uniform K-stability and asymptotics of energy functionals in Kähler geometry

(2019) Sébastien Boucksom et al.   JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY

Openness results for uniform K-stability

(2018) Kento Fujita   MATHEMATISCHE ANNALEN

Convexity of the extended K-energy and the large time behavior of the weak Calabi flow

(2017) Robert Berman et al.   GEOMETRY & TOPOLOGY

Convexity of the extended K-energy and the large time behavior of the weak Calabi flow

(2017) Robert Berman et al.   GEOMETRY & TOPOLOGY

Convex bodies associated to linear series

(2017) Robert Lazarsfeld et al.   ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE

A valuative criterion for uniform K-stability of ℚ-Fano varieties

(2016) Kento Fujita   JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK

On K-stability and the volume functions of ℚ-Fano varieties: Table 1.

(2016) Kento Fujita   PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY

Uniform Stability of Twisted Constant Scalar Curvature Kähler Metrics

(2015) Ruadhaí Dervan   INTERNATIONAL MATHEMATICS RESEARCH NOTICES

Singular semipositive metrics in non-Archimedean geometry

(2015) Sébastien Boucksom et al.   JOURNAL OF ALGEBRAIC GEOMETRY

Special test configuration and K-stability of Fano varieties

(2014) Chi Li et al.   ANNALS OF MATHEMATICS

Seshadri constants, diophantine approximation, and Roth’s theorem for arbitrary varieties

(2014) David McKinnon et al.   INVENTIONES MATHEMATICAE

Kähler-Einstein metrics on Fano manifolds. II: Limits with cone angle less than $2\pi $

(2014) Xiuxiong Chen et al.   JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY

Solution to a non-Archimedean Monge-Ampère equation

(2014) Sébastien Boucksom et al.   JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY

Vanishing sequences and Okounkov bodies

(2014) Sébastien Boucksom et al.   MATHEMATISCHE ANNALEN

Filtrations and test-configurations

(2014) Gábor Székelyhidi   MATHEMATISCHE ANNALEN

Valuations and asymptotic invariants for sequences of ideals

(2013) Mattias Jonsson et al.   ANNALES DE L INSTITUT FOURIER

The GIT stability of polarized varieties via discrepancy

(2013) Yuji Odaka   ANNALS OF MATHEMATICS

Test configurations and Okounkov bodies

(2012) David Witt Nyström   COMPOSITIO MATHEMATICA

Okounkov bodies of filtered linear series

(2011) Sébastien Boucksom et al.   COMPOSITIO MATHEMATICA

Differentiability of volumes of divisors and a problem of Teissier

(2011) Sébastien Boucksom et al.   JOURNAL OF ALGEBRAIC GEOMETRY

Valuations and Plurisubharmonic Singularities

(2008) Sébastien Boucksom et al.   PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES