Concavity property of minimal $L^2$ integrals with Lebesgue measurable gain. II (Q6562867)

scientific article; zbMATH DE number 7872185

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English	Concavity property of minimal $L^2$ integrals with Lebesgue measurable gain. II	scientific article; zbMATH DE number 7872185

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instance of

scholarly article

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title

Concavity property of minimal $L^2$ integrals with Lebesgue measurable gain. II (English)

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Advances in Mathematics

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publication date

27 June 2024

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zbMATH Keywords

concavity

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minimal $L^2$ integral

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weakly pseudoconvex Kähler manifold

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multiplier ideal sheaf

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plurisubharmonic function

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sublevel set

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

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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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Lelong numbers and vector bundles

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Suita conjecture and the Ohsawa-Takegoshi extension theorem

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One dimensional estimates for the Bergman kernel and logarithmic capacity

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Ohsawa-Takegoshi extension theorem for compact Kähler manifolds and applications

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A general extension theorem for cohomology classes on non reduced analytic subspaces

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Monotonicity of nonpluripolar products and complex Monge-Ampère equations with prescribed singularity

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The metric geometry of singularity types

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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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Q4027238

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Q4499566

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Q3151793

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Extension of holomorphic functions defined on non reduced analytic subvarieties

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A subadditivity property of multiplier ideals.

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

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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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Valuations and multiplier ideals

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Q3931657

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A global approximation result by Bert Alan Taylor and the strong openness conjecture in ${\mathbb {C}}^n$

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Weighted approximation in $\mathbb{C} $

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Q3322387

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A sharp effectiveness result of Demailly's strong openness conjecture

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Concavity of minimal $L^2$ Integrals related to multiplier ideal sheaves

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Boundary points, minimal $L^2$ integrals and concavity property. II: Weakly pseudoconvex Kähler manifolds

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CONCAVITY PROPERTY OF MINIMAL INTEGRALS WITH LEBESGUE MEASURABLE GAIN

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Optimal constant problem in the $L^2$ extension theorem

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Optimal constant in an $L^2$ extension problem and a proof of a conjecture of Ohsawa

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A proof of Demailly's strong openness conjecture

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A solution of an $L^{2}$ extension problem with an optimal estimate and applications

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Effectiveness of Demailly's strong openness conjecture and related problems

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Restriction formula and subadditivity property related to multiplier ideal sheaves

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On the Ohsawa-Takegoshi $L^2$ extension theorem and the twisted Bochner-Kodaira identity

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Toric plurisubharmonic functions and analytic adjoint ideal sheaves

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THE OPTIMAL JET EXTENSION OF OHSAWA–TAKEGOSHI TYPE

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Valuations and asymptotic invariants for sequences of ideals

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Algebraic fiber spaces over abelian varieties: Around a recent theorem by Cao and Păun

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Skoda division of line bundle sections and pseudo-division

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Jumping numbers of analytic multiplier ideals (with an appendix by S

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Q4650504

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On Demailly's $L^2$ extension theorem from non-reduced subvarieties

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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

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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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Q4353232

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On the extension of $L^2$ holomorphic functions. V: Effects of generalization

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L<sup>2</sup>Extension for jets of holomorphic sections of a Hermitian line Bundle

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$L^2$ extension theorem for jets with variable denominators

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Q5575751

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Q4228989

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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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Capacities and kernels on Riemann surfaces

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On Kähler-Einstein metrics on certain Kähler manifolds with $C_ 1(M)>0$

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Q3259806

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Q4705026

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An optimal $L^2$ extension theorem on weakly pseudoconvex Kähler manifolds

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Optimal $L^2$ extension of sections from subvarieties in weakly pseudoconvex manifolds

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Siu's lemma, optimal $L^2$ extension and applications to twisted pluricanonical sheaves

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Extension of cohomology classes and holomorphic sections defined on subvarieties

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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

1544.32019

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Mathematics Subject Classification ID

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10.1016/J.AIM.2024.109766

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Sitelinks

Mathematics(1 entry)

mardi Publication:6562867

Concavity property of minimal \(L^2\) integrals with Lebesgue measurable gain. II (Q6562867)

Statements

Identifiers

Sitelinks

Mathematics(1 entry)