Analyticity of sets associated to Lelong numbers and the extension of closed positive currents

From MaRDI portal

Publication:1846955

Jump to:navigation, search

DOI10.1007/BF01389965zbMath0289.32003MaRDI QIDQ1846955

Yum-Tong Siu

Publication date: 1974

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/142308

Mathematics Subject Classification ID

Analytic subsets and submanifolds (32C25) Currents in global analysis (58A25) Plurisubharmonic functions and generalizations (32U05)

Related Items

Segre numbers, a generalized King formula, and local intersections, Factorization of semisimple discrete representations of Kähler groups, Correnti positive: Uno strumento per l’analisi globale su varietà complesse, $$L^2$$ -Serre Duality on Singular Complex Spaces and Applications, A sharp effectiveness result of Demailly's strong openness conjecture, On the volume of a pseudo-effective class and semi-positive properties of the Harder–Narasimhan filtration on a compact Hermitian manifold, Minimal models for Kähler threefolds, PSEUDO-EFFECTIVE LINE BUNDLES ON COMPACT KÄHLER MANIFOLDS, Unnamed Item, Densities of Currents on Non-Kähler Manifolds, Tangents to subsolutions: existence and uniqueness, Part I, Extension theorems for reductive group actions on compact Kaehler manifolds, Divisorial Zariski decompositions on compact complex manifolds, Strong openness of multiplier ideal sheaves and optimal \(L^{2}\) extension, Densité des fonctions plurisousharmoniques, Unnamed Item, On tamed almost complex four-manifolds, Misiurewicz parameters and dynamical stability of polynomial-like maps of large topological degree, Some results on the comparison principle for the weighted log canonical thresholds, Continuity method with movable singularities for classical complex Monge-Ampere equations, Upper level sets of Lelong numbers on Hirzebruch surfaces, On the collapsing of Calabi-Yau manifolds and Kähler-Ricci flows, Lelong numbers of bidegree \((1, 1)\) currents on multiprojective spaces, Kähler manifolds with curvature bounded below, Singular holomorphic foliations by curves. III: Zero Lelong numbers, On the residual Monge-Ampère mass of plurisubharmonic functions with symmetry in \(\mathbb{C}^2\), Lelong numbers of potentials associated with positive closed currents and applications, Lelong numbers of currents of full mass intersection, Volume of components of Lelong upper-level sets, Restricted volumes on Kähler manifolds, A new definition of analytic adjoint ideal sheaves via the residue functions of log-canonical measures. I, Weakly Kähler hyperbolic manifolds and the Green-Griffiths-Lang conjecture, A Property of upper level sets of Lelong numbers of currents on ℙ2, A relative Yau-Tian-Donaldson conjecture and stability thresholds, Polar transform and local positivity for curves, Extension theorems for reductive group actions on compact Kaehler manifolds, Uniqueness of tangent cones to positive-\((p,p)\) integral cycles, Équisingularité réelle : nombres de Lelong et images polaires, Poincaré-Lelong formula, \(J\)-analytic subsets and Lelong numbers of currents on almost complex manifolds, Tangent cones to positive-\((1,1)\) De Rham currents, Applications harmoniques stables dans $P^n$, The Variations of Yang–Mills Lagrangian, An algebraic approach to the openness conjecture of Demailly and Kollár, Dirichlet-like space and capacity in complex analysis in several variables, Real rectifiable currents, holomorphic chains and algebraic cycles, Density of positive closed currents, a theory of non-generic intersections, Sharp differential estimates of Li-Yau-Hamilton type for positive (p, p) forms on Kähler manifolds, On Lelong numbers of positive closed currents on, On Ahlfors currents, Pull-back of currents by meromorphic maps, An embedding theorem of complete Kähler manifolds of positive bisectional curvature onto affine algebraic varieties, Algebraic currents and Liouville currents with conditions on slices, DESINGULARIZATION OF QUASIPLURISUBHARMONIC FUNCTIONS, Semi-continuity of complex singularity exponents and Kähler–Einstein metrics on Fano orbifolds, Tsuji's numerical trivial fibrations, Domains of definition of Monge-Ampère operators on compact Kähler manifolds, Cauchy–Riemann meet Monge–Ampère, Bifurcation currents in holomorphic dynamics on, Open problems in pluripotential theory, Meromorphic extension of holomorphic functions with growth conditions, GREEN FUNCTIONS WITH SINGULARITIES ALONG COMPLEX SPACES, Special metrics on compact complex manifolds, Extension of a positive plurisubharmonic current., The partial 𝐶⁰-estimate along the continuity method, On the Cohomology of Pseudoeffective Line Bundles, A Survey on L 2 Extension Problem, \(L^2\)-properties of the \(\overline{\partial}\) and the \(\overline{\partial}\)-Neumann operator on spaces with isolated singularities, Metrics on semistable and numerically effective Higgs bundles, Compact complex threefolds which are Kähler outside a smooth rational curve, Divisorial Zariski decomposition and algebraic Morse inequalities, Decreasing equisingular approximations with analytic singularities, Equidistribution problems in complex dynamics of higher dimension, Duality between the pseudoeffective and the movable cone on a projective manifold, On Grauert-Riemenschneider type criteria, On the directional Lelong–Demailly numbers of positive currents, Harmonic currents directed by foliations by Riemann surfaces, On the hard Lefschetz theorem for pseudoeffective line bundles, Lelong numbers of positive plurisubharmonic currents, A complex Frobenius theorem, multiplier ideal sheaves and Hermitian-Einstein metrics on stable bundles, Geometric properties of upper level sets of Lelong numbers on projective spaces, Sequences of multivalued meromorphic mappings and laminar currents, On Construction of Positive Closed Currents with Prescribed Lelong Numbers, A study of nefness in higher codimension, Three structure theorems in several complex variables, Ohsawa-Takegoshi type theorem and extension of plurisubharmonic functions, Nevanlinna inequality for intersection of divisors, Lelong number and the log canonical thresholds of plurisubharmonic functions on analytic subsets, Restriction formula and subadditivity property related to multiplier ideal sheaves, Gromov-Hausdorff limits of Kähler manifolds with Ricci curvature bounded below, Algebraicity criteria for compact complex manifolds, An effective Matsusaka big theorem, Polynomial hulls and positive currents, Lelong-Skoda transform for compact Kähler manifolds and self-intersection inequalities, Smooth plurisubharmonic functions without subextension, Nombres de Lelong généralisés, théorèmes d'intégralité et d'analyticité. (Generalized Lelong numbers, integrability and analyticity theorems), Kähler-Einstein metrics on complex surfaces with \(C_ 1>0\), Approximation and equidistribution results for pseudo-effective line bundles, \(L^2\) estimates and existence theorems for the \(\overline{\partial}\) operators in infinite dimensions. I, Numerical criteria for the positivity of the difference of ample divisors, Polynomial convexity, rational convexity, and currents, The Weil-Petersson current for moduli of vector bundles and applications to orbifolds, Directional Lelong numbers of positive plurisubharmonic currents, Uniqueness and short time regularity of the weak Kähler-Ricci flow, Complete Kähler-Einstein metrics on bounded domains locally of finite volume at some boundary points, Hermitian metrics of semi-negative curvature on quotients of bounded symmetric domains, Extension theorems, non-vanishing and the existence of good minimal models, Flatness of the positive plurisubharmonic currents, Subharmonicity properties of the Bergman kernel and some other functions associated to pseudoconvex domains, Characterizing volume via cone duality, Characterization of multiplier ideal sheaves with weights of Lelong number one, Super-potentials of positive closed currents, intersection theory and dynamics, Effectiveness of Demailly's strong openness conjecture and related problems, A note on semistable Higgs bundles over compact Kähler manifolds, Kähler currents and null loci, A new generalization of the Lelong number, Sur les nombres de Lelong associés à l'image directe d'un courant positif fermé, Existence of Lelong numbers of positive plurisuperharmonic currents, Dynamics of polynomial-like mappings, Canonical growth conditions associated to ample line bundles, Maximal subextensions of plurisubharmonic functions, Several special complex structures and their deformation properties, \(K3\) surfaces with involution, equivariant analytic torsion, and automorphic forms on the moduli space. III: The case \(r(M) \geq 18\), Dynamics of polynomial automorphisms of \(\mathbb C^k\), Wedge product of positive currents and balanced manifolds, Monge-Ampère measures on subvarieties, Subelliptic estimates for the \(\bar\partial\)-problem on a singular complex space, Integrability of characteristic numbers on complete Kähler manifolds, Lelong numbers on projective varieties, Relative critical exponents, non-vanishing and metrics with minimal singularities, Quasi-projective embeddings of noncompact complete Kähler manifolds of positive Ricci curvature and satisfying certain topological conditions, Hulls and positive closed currents, Algebraic bounds on analytic multiplier ideals, Green functions, Segre numbers, and King's formula, Riemann surface laminations with singularities, Finite generation of canonical ring by analytic method, Complex Hénon mappings in \({\mathbb{C}}^ 2\) and Fatou-Bieberbach domains, Some open problems on holomorphic foliation theory, Nonexistence of decreasing equisingular approximations with logarithmic poles, Lelong numbers, complex singularity exponents, and Siu's semicontinuity theorem, Positivity of relative canonical bundles and applications, Random walks, Kleinian groups, and bifurcation currents, Properties of compact complex manifolds carrying closed positive currents, Fatou directions along the Julia set for endomorphisms of \({\mathbb{CK}}^k\), Compactness of the \(\bar{\partial}\)-Neumann operator on singular complex spaces, Uniqueness of tangent cones for semicalibrated integral 2-cycles, Extension theorems for reductive group actions on compact Kähler manifolds, The resolution of the Yang-Mills plateau problem in super-critical dimensions, On the regularity of the leafwise Poincaré metric, Subextension of plurisubharmonic functions with weak singularities, Growth of the trace of a closed positive current on complex planes in \(\mathbb C^n\)., Singularities and integrability of plurisubharmonic functions., Ergodic theorems for laminations and foliations: recent results and perspectives, Lelong numbers of \(m\)-subharmonic functions, Relations between removable singularity sets for plurisubharmonic functions and positive, closed (1,1)-currents, On a question of Teissier, Some applications of the Ohsawa-Takegoshi extension theorem, Non-unique conical and non-conical tangents to rectifiable stationary varifolds in \(\mathbb R^4\), The J-equation and the supercritical deformed Hermitian-Yang-Mills equation, Compactification of complete Kähler surfaces with negative Ricci curvature, Blow-ups and resolutions of strong Kähler with torsion metrics, Removal on singularities of plurisubharmonic functions, Ensembles analytiques complexes définis comme ensembles de densité et contrôles de croissance, Sur le prolongement des courants positifs fermés, Non-algebraic compact Kähler threefolds admitting endomorphisms, On the positivity of high-degree Schur classes of an ample vector bundle, Removable singularities of plurisubharmonic functions of restricted growth, Extension of a positive quasi-plurisuperharmonic current, Courants kählériens et surfaces compactes. (Kähler currents and compact surfaces), On compact Kähler surfaces, Quasiplurisubharmonic Green functions, Unique ergodicity for foliations on compact Kähler surfaces, Regularity properties of the degenerate Monge-Ampère equations on compact Kähler manifolds, A criterion of algebraicity for Lelong classes and analytic sets, An optimal support function related to the strong openness conjecture, The Monge-Ampère operator and slicing of closed positive currents, Propagation des singularités des courants positifs fermés, Diophantine approximations and foliations, Kähler-Einstein metrics with prescribed singularities on Fano manifolds, Quelques problèmes de prolongement de courants en analyse complexe, Calibrated geometries, Positive \(\partial\bar\partial\)-closed currents and non-Kähler geometry, Bounds on the dimension of \(L^ 2\) holomorphic sections of vector bundles over complete Kähler manifolds of finite volume, Upper level sets of Lelong numbers on \(\mathbb P^2\) and cubic curves, Continuation of positive, closed currents and analytic sets, Ample vector bundles on open algebraic varieties

Cites Work

Retrieved from "https://portal.mardi4nfdi.de/w/index.php?title=Publication:1846955&oldid=14227329"