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A Survey on L 2 Extension Problem (Q2795637)

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Language	Label	Description	Also known as
English	A Survey on L 2 Extension Problem	scientific article

Statements

scholarly article

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A Survey on L 2 Extension Problem (English)

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Complex Geometry and Dynamics

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publication date

22 March 2016

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zbMATH Keywords

extension of holomorphic sections from subvarieties

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\(L^2\) method

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/978-3-319-20337-9_13

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The extension theorem of Ohsawa-Takegoshi and the theorem of Donnelly-Fefferman

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Prekopa's theorem and Kiselman's minimum principle for plurisubharmonic functions

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Integral formulas and the Ohsawa-Takegoshi extension theorem

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Subharmonicity properties of the Bergman kernel and some other functions associated to pseudoconvex domains

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Curvature of vector bundles associated to holomorphic fibrations

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Bergman kernels and the pseudoeffectivity of relative canonical bundles

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Quantitative extensions of pluricanonical forms and closed positive currents

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Suita conjecture and the Ohsawa-Takegoshi extension theorem

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Valuations and plurisubharmonic singularities

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Numerical dimension and a Kawamata–Viehweg–Nadel-type vanishing theorem on compact Kähler manifolds

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Estimates for the \(\bar\partial\)-Neumann problem and nonexistence of \(C^2\) Levi-flat hypersurfaces in \(\mathbb{C} P^n\)

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Estimations $\mathrm{L}^2$ pour l'opérateur $\bar \partial$ d'un fibré vectoriel holomorphe semi-positif au-dessus d'une variété kählérienne complète

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Extension theorems, non-vanishing and the existence of good minimal models

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A subadditivity property of multiplier ideals.

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Semi-continuity of complex singularity exponents and Kähler–Einstein metrics on Fano orbifolds

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A Kawamata-Viehweg vanishing theorem on compact Kähler manifolds.

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Extension of holomorphic <i>L</i><sup>2</sup>-functions with weighted growth conditions

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Super-potentials of positive closed currents, intersection theory and dynamics

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Polynomial convexity, rational convexity, and currents

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Valuative analysis of planar plurisubharmonic functions

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Valuations and multiplier ideals

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The Levi problem on complex spaces with singularities

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Some open problems in higher dimensional complex analysis and complex dynamics

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On the Ohsawa-Takegoshi \(L^2\) extension theorem and the twisted Bochner-Kodaira identity

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Optimal constant problem in the \(L^2\) extension theorem

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Generalized \(L^2\) extension theorem and a conjecture of Ohsawa

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Optimal constant in an \(L^2\) extension problem and a proof of a conjecture of Ohsawa

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An \(L^2\) extension theorem with optimal estimate

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Effectiveness of Demailly's strong openness conjecture and related problems

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\(L^ 2\) estimates and existence theorems for the \(\partial\)-operator

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Valuations and asymptotic invariants for sequences of ideals

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An algebraic approach to the openness conjecture of Demailly and Kollár

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A theorem of \(L^ 2\) extension of holomorphic sections of a Hermitian bundle

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Analytic inversion of adjunction: \(L^2\) extension theorems with gain

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Multiplier ideal sheaves and Kähler-Einstein metrics of positive scalar curvature

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On the extension of L 2 holomorphic functions. II

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On the extension of \(L^ 2\) holomorphic functions. III: Negligible weights

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Addendum to “On the Bergman kernel of hyperconvex domains”, Nagoya Math. J. 129 (1993), 43–52

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On the extension of <i>L</i><sup>2</sup> holomorphic functions V-Effects of generalization

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On the extension of \(L^ 2\) holomorphic functions

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Siu's invariance of plurigenera: a one-tower proof

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Capacities and Bergman kernels for Riemann surfaces and Fuchsian groups

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Invariant domains of holomorphy: twenty years later

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Quelques problèmes de prolongement de courants en analyse complexe

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Pseudoconvexity and the problem of Levi

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

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Invariance of plurigenera

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Multiplier ideal sheaves in complex and algebraic geometry

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Dynamic multiplier ideal sheaves and the construction of rational curves in Fano manifolds

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Lectures on the \(L^2\)-Sobolev theory of the \(\bar\partial\)-Neumann problem

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Capacities and kernels on Riemann surfaces

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On the Lu Qi-Keng Conjecture

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Invariant holomorphic extension in several complex variables

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On the Ohsawa-Takegoshi \(L^2\) extension theorem and the Bochner-Kodaira identity with non-smooth twist factor

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Identifiers

zbMATH Open document ID

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10.1007/978-3-319-20337-9_13

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2795637

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