An application of adjoint ideal sheaves to injectivity and extension theorems

DOI10.1090/CONM/810/16208MaRDI QIDQ6670010

Young-Jun Choi, Tsz On Mario Chan

Publication date: 22 January 2025

zbMATH Keywords

extension theoremvanishing theoremmultiplier ideal sheaf\(L^2\) injectivityadjoint ideal sheaf

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Kähler manifolds (32Q15) Transcendental methods of algebraic geometry (complex-analytic aspects) (32J25)

Cites Work

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• Fundamental theorems for the log minimal model program
• A transcendental approach to Kollár's injectivity theorem
• Higher direct images of dualizing sheaves. I
• On an \(L^2\) extension theorem from log-canonical centres with log-canonical measures
• Extension with log-canonical measures and an improvement to the plt extension of Demailly-Hacon-Păun
• An injectivity theorem
• Versions of injectivity and extension theorems
• An injectivity theorem with multiplier ideal sheaves of singular metrics with transcendental singularities
• On semipositivity, injectivity and vanishing theorems
• A transcendental approach to injectivity theorem for log canonical pairs
• Introduction
• Extension of holomorphic functions defined on non reduced analytic subvarieties
• 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

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