Optimal \(L^2\) extension and Siu's lemma

DOI10.1007/s10114-018-7539-2zbMath1402.32013OpenAlexW2806338332WikidataQ124817530 ScholiaQ124817530MaRDI QIDQ1782066

Lang Feng Zhu, Xiang-Yu Zhou

Publication date: 18 September 2018

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-018-7539-2

zbMATH Keywords

plurisubharmonic functions\(L^2\) extensionmultiplier ideal sheafsstrong openness property

Mathematics Subject Classification ID

Continuation of analytic objects in several complex variables (32D15) Plurisubharmonic functions and generalizations (32U05) Singular integrals of functions in several complex variables (32A55)

Related Items (4)

\(L^2\) extensions with singular metrics on Kähler manifolds ⋮ Siu's lemma: generalizations and applications ⋮ Optimal \(L^2\) extension and Siu's lemma ⋮ Logarithmic Bergman kernel and conditional expectation of Gaussian holomorphic fields

Cites Work

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• On the Ohsawa-Takegoshi \(L^2\) extension theorem and the Bochner-Kodaira identity with non-smooth twist factor
• An Ohsawa-Takegoshi theorem on compact Kähler manifolds
• A proof of Demailly's strong openness conjecture
• On the extension of \(L^ 2\) holomorphic functions
• Multiplier ideal sheaves and Kähler-Einstein metrics of positive scalar curvature
• Bergman kernels and the pseudoeffectivity of relative canonical bundles
• A theorem of \(L^ 2\) extension of holomorphic sections of a Hermitian bundle
• Algebraic estimates, stability of local zeta functions, and uniform estimates for distribution functions
• A generalized Siu's lemma
• Optimal \(L^2\) extension and Siu's lemma
• The extension theorem of Ohsawa-Takegoshi and the theorem of Donnelly-Fefferman
• On the extension of \(L^ 2\) holomorphic functions. III: Negligible weights
• A solution of an \(L^{2}\) extension problem with an optimal estimate and applications
• Analytic inversion of adjunction: \(L^2\) extension theorems with gain
• Multiplier ideal sheaves in complex and algebraic geometry
• Resolution of singularities of an algebraic variety over a field of characteristic zero. I
• On the extension of L² holomorphic functions V-Effects of generalization
• Semi-continuity of complex singularity exponents and Kähler–Einstein metrics on Fano orbifolds
• The Openness Conjecture and Complex Brunn-Minkowski Inequalities
• A Survey on L 2 Extension Problem
• Extension of holomorphic functions defined on non reduced analytic subvarieties

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