Theory of non-lc ideal sheaves: basic properties

DOI10.1215/0023608X-2009-011zbMath1200.14033arXiv0801.2198OpenAlexW3106139264MaRDI QIDQ983868

Osamu Fujino

Publication date: 13 July 2010

Published in: Kyoto Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0801.2198

zbMATH Keywords

restriction theoremmultiplier ideal sheafnon-lc ideal sheaf

Mathematics Subject Classification ID

Global theory and resolution of singularities (algebro-geometric aspects) (14E15) Minimal model program (Mori theory, extremal rays) (14E30)

Related Items (9)

A relative spannedness for log canonical pairs and quasi-log canonical pairs ⋮ Deformations of Log Terminal and Semi Log Canonical Singularities ⋮ Notes on Frobenius stable direct images ⋮ On quasi-log schemes ⋮ A Travel Guide to the Canonical Bundle Formula ⋮ Nakamaye's theorem on log canonical pairs ⋮ A transcendental approach to Kollár's injectivity theorem ⋮ On injectivity, vanishing and torsion-free theorems for algebraic varieties ⋮ Subadjunction for quasi-log canonical pairs and its applications

Cites Work

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• On the extension of \(L^ 2\) holomorphic functions
• Inversion of adjunction on log canonicity
• Effective base point free theorem for log canonical pairs --- Kollár type theorem
• On injectivity, vanishing and torsion-free theorems for algebraic varieties
• Effective base point free theorem for log canonical pairs. II: Angehrn-Siu type theorems
• Non-vanishing theorem for log canonical pairs
• Non-klt techniques
• A subadditivity property of multiplier ideals.

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