Monge-Ampère equations in big cohomology classes

From MaRDI portal
Publication:617885

DOI10.1007/s11511-010-0054-7zbMath1213.32025arXiv0812.3674OpenAlexW2024693438MaRDI QIDQ617885

Vincent Guedj, Sébastien Boucksom, Philippe Eyssidieux, Ahmed Zeriahi

Publication date: 14 January 2011

Published in: Acta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0812.3674



Related Items

Quasiprojective manifolds with negative holomorphic sectional curvature, The metric geometry of singularity types, Geometric methods of complex analysis. Abstracts from the workshop held April 10--16, 2011., From Monge-Ampère equations to envelopes and geodesic rays in the zero temperature limit, Monotonicity of nonpluripolar products and complex Monge-Ampère equations with prescribed singularity, Geodesic distance and Monge-Ampére measures on contact sets, On the boundary behavior of Kähler-Einstein metrics on log canonical pairs, Convexity and Zariski decomposition structure, A variational approach to complex Monge-Ampère equations, Complex Monge-Ampère equations on quasi-projective varieties, Regularizing properties of the twisted Kähler-Ricci flow, Restricted Carathéodory measure and restricted volume of the canonical bundle, An arithmetic Hilbert–Samuel theorem for singular hermitian line bundles and cusp forms, Envelopes with prescribed singularities, Convexity of the extended K-energy and the large time behavior of the weak Calabi flow, Nonexistence for complete Kähler-Einstein metrics on some noncompact manifolds, On the volume of graded linear series and Monge-Ampère mass, Envelopes of positive metrics with prescribed singularities, Real Monge-Ampère equations and Kähler-Ricci solitons on toric log Fano varieties, A viscosity approach to degenerate complex Monge-Ampère equations, Comparison of the Calabi and Mabuchi geometries and applications to geometric flows, Geometric Constructions of Extremal Metrics on Complex Manifolds, Stability of solutions to complex Monge-Ampère flows, Smooth and rough positive currents, \(L^1\) metric geometry of big cohomology classes, Kähler-Einstein metrics and the Kähler-Ricci flow on log Fano varieties, Density and intersection of (1,1)-currents, Weak solutions to complex Monge-Ampère equations on compact Kähler manifolds, Kähler currents and null loci, Tian’s properness conjectures and Finsler geometry of the space of Kähler metrics, Asymptotic stability for Kähler-Ricci solitons, A complete metric topology on relative low energy spaces, Geometric estimates for complex Monge-Ampère equations, Smooth approximation of twisted Kähler-Einstein metrics, A potential theory for the \(k\)-curvature equation, Geometric methods of complex analysis. Abstracts from the workshop held May 16--22, 2021 (hybrid meeting), Differential geometry in the large (hybrid meeting). Abstracts from the workshop held July 4--10, 2021 (hybrid meeting), Variation of singular Kähler-Einstein metrics: Kodaira dimension zero (with an appendix by Valentino Tosatti), Polar transform and local positivity for curves, Canonical growth conditions associated to ample line bundles, Logarithmic potentials on \(\mathbb{P}^n\), Chern-Weil and Hilbert-Samuel formulae for singular Hermitian line bundles, Asymptotic multiplicities and Monge-Ampère masses (with an appendix by Sébastien Boucksom), Openness of uniformly valuative stability on the Kähler cone of projective manifolds, On \(L^{\infty}\) estimate for complex Hessian quotient equations on compact Kähler manifolds, A thermodynamical formalism for Monge-Ampère equations, Moser-Trudinger inequalities and Kähler-Einstein metrics, Global pluripotential theory on hybrid spaces, Several special complex structures and their deformation properties, Geodesic stability, the space of rays and uniform convexity in Mabuchi geometry, On the existence of conic Kähler-Einstein metrics, A viscosity approach to the Dirichlet problem for complex Monge-Ampère equations, Determinantal point processes and fermions on complex manifolds: large deviations and bosonization, Hölder continuous solutions to Monge-Ampère equations, Pluripotential energy, Log-concavity of volume and complex Monge-Ampère equations with prescribed singularity, Optimal regularity of plurisubharmonic envelopes on compact Hermitian manifolds, Stability and regularity of solutions of the Monge-Ampère equation on Hermitian manifolds, Kähler-Einstein metrics on stable varieties and log canonical pairs, Kähler-Einstein metrics with mixed Poincaré and cone singularities along a normal crossing divisor, Green functions, Segre numbers, and King's formula, Fekete points and convergence towards equilibrium measures on complex manifolds, Residue currents and Monge-Ampère operators, Convergence rates for discretized Monge-Ampère equations and quantitative stability of optimal transport, Existence of Kähler-Ricci solitons on smoothable \(\mathbb{Q}\)-Fano varieties, Equivalence of plurisubharmonic singularities and Siu-type metrics, \(C^{1,1}\) regularity of degenerate complex Monge-Ampère equations and some applications, On sharp lower bounds for Calabi-type functionals and destabilizing properties of gradient flows, Variation of singular Kähler-Einstein metrics: positive Kodaira dimension, \(L^p\) metric geometry of big and nef cohomology classes, Viscosity solutions to degenerate complex monge-ampère equations, Analytic characterization of nef and good line bundles, Positivity of relative canonical bundles and applications, Large deviations for Gibbs measures with singular Hamiltonians and emergence of Kähler-Einstein metrics, Growth of balls of holomorphic sections and energy at equilibrium, Special metrics in Kähler geometry, On the Cohomology of Pseudoeffective Line Bundles, Relations between the Kähler cone and the balanced cone of a Kähler manifold, Finite entropy vs finite energy, Continuity of delta invariants and twisted Kähler-Einstein metrics, Relative non-pluripolar product of currents, Holomorphic sectional curvature, nefness and Miyaoka-Yau type inequality, A Survey on Balanced Metrics, Valuative invariants with higher moments, Pluripotential Monge-Ampère flows in big cohomology classes, The Non-Archimedean Monge–Ampère Equation, \(G\)-uniform stability and Kähler-Einstein metrics on Fano varieties, \(L^1\) metric geometry of potentials with prescribed singularities on compact Kähler manifolds, The closures of test configurations and algebraic singularity types, Restricted Bergman kernel asymptotics, Positivity functions for curves on algebraic varieties, On metrics with minimal singularities of line bundles whose stable base loci admit holomorphic tubular neighborhoods, A characterization of complex quasi-projective manifolds uniformized by unit balls, KÄHLER–EINSTEIN METRICS WITH CONE SINGULARITIES ON KLT PAIRS, Non-pluripolar energy and the complex Monge-Ampère operator, EQUIDISTRIBUTION TOWARD THE GREEN CURRENT IN BIG COHOMOLOGY CLASSES, Kähler-Einstein metrics with prescribed singularities on Fano manifolds, Plurisubharmonic geodesics in spaces of non-Archimedean metrics of finite energy, Stability of Monge-Ampère energy classes, Stability and Hölder regularity of solutions to complex Monge-Ampère equations on compact Hermitian manifolds, Linearization of transition functions of a semi-positive line bundle along a certain submanifold, Subharmonicity of conic Mabuchi’s functional, I, Complex Hessian equations with prescribed singularity on compact Kähler manifolds, Convexity of the class of currents with finite relative energy, Mabuchi geometry of big cohomology classes, Quasi-monotone convergence of plurisubharmonic functions, Continuity method with movable singularities for classical complex Monge-Ampere equations, On the regularity of conical Calabi–Yau potentials, Quasi-plurisubharmonic envelopes 3: solving Monge-Ampère equations on Hermitian manifolds, Projective logarithmic potentials, Complex geometry and dynamical systems. Abstracts from the workshop held September 4--10, 2022, Mabuchi's soliton metric and relative D-stability, On a mixed Monge–Ampère operator for quasiplurisubharmonic functions with analytic singularities, Lelong numbers of currents of full mass intersection, The strong topology of \(\omega \)-plurisubharmonic functions, Continuity of Monge-Ampère potentials with prescribed singularities, Families of singular Kähler-Einstein metrics, Moser-Trudinger type inequalities for complex Monge-Ampère operators and Aubin's ``hypothèse fondamentale, Global pluripotential theory over a trivially valued field, Restricted volumes on Kähler manifolds, Uniform estimates for cscK metrics, Weakly Kähler hyperbolic manifolds and the Green-Griffiths-Lang conjecture, On \(L^{\infty}\) estimates for Monge-Ampère and Hessian equations on nef classes, On the singularity type of full mass currents in big cohomology classes, Emergent complex geometry, A relative Yau-Tian-Donaldson conjecture and stability thresholds, A Bochner principle and its applications to Fujiki class 𝒞 manifolds with vanishing first Chern class, WEAK GEODESIC RAYS IN THE SPACE OF KÄHLER POTENTIALS AND THE CLASS, Tian’s Properness Conjectures:An Introduction to Kähler Geometry, C1,1 regularity for degenerate complex Monge–Ampère equations and geodesic rays, Jumping numbers of analytic multiplier ideals (with an appendix by S, Open problems in pluripotential theory, Geometry and topology of the space of Kähler metrics on singular varieties, Kähler-Einstein metrics with edge singularities, On minimal singular metrics of certain class of line bundles whose section ring is not finitely generated, Finite pluricomplex energy measures, C1,1 regularity of geodesics of singular Kähler metrics, Statistical mechanics of interpolation nodes, pluripotential theory and complex geometry, Toric pluripotential theory, Geometric pluripotential theory on Kähler manifolds, Equidistribution of non-pluripolar products associated with quasi-plurisubharmonic functions of finite energy, On a Monge-Ampere operator for plurisubharmonic functions with analytic singularities, Monotonicity of non-pluripolar Monge-Ampere masses, Duality between the pseudoeffective and the movable cone on a projective manifold, On the hard Lefschetz theorem for pseudoeffective line bundles, Comparison of Monge–Ampère capacities, Book review of: V. Guedj and A. Zeriahi, Degenerate complex Monge-Ampère equations, Density currents and relative non‐pluripolar products, Solution to a non-Archimedean Monge-Ampère equation, A study of nefness in higher codimension



Cites Work

OSZAR »