On an \(L^2\) extension theorem from log-canonical centres with log-canonical measures

DOI10.1007/s00209-021-02890-9zbMath1487.32096arXiv2008.03019OpenAlexW3047851956MaRDI QIDQ2137866

Tsz On Mario Chan

Publication date: 11 May 2022

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.03019

zbMATH Keywords

\(L^2\) estimatesOhsawa-Takegoshi extension

Mathematics Subject Classification ID

Kähler manifolds (32Q15) Minimal model program (Mori theory, extremal rays) (14E30) Transcendental methods of algebraic geometry (complex-analytic aspects) (32J25)

Related Items (2)

On an injectivity theorem for log-canonical pairs with analytic adjoint ideal sheaves ⋮ A new definition of analytic adjoint ideal sheaves via the residue functions of log-canonical measures. I

Cites Work

• Extension theorems, non-vanishing and the existence of good minimal models
• Analytic continuation of residue currents
• Extension with log-canonical measures and an improvement to the plt extension of Demailly-Hacon-Păun
• Segre numbers, a generalized King formula, and local intersections
• A general extension theorem for cohomology classes on non reduced analytic subspaces
• Regularizations of residue currents
• Introduction
• Extension of holomorphic functions defined on non reduced analytic subvarieties

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