Effective base point free theorem for log canonical pairs --- Kollár type theorem

DOI10.2748/tmj/1264084495zbMath1189.14025arXiv0709.0332OpenAlexW2058358729MaRDI QIDQ961444

Osamu Fujino

Publication date: 30 March 2010

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0709.0332

zbMATH Keywords

log canonicaleffective base point free theorem

Mathematics Subject Classification ID

Minimal model program (Mori theory, extremal rays) (14E30) Divisors, linear systems, invertible sheaves (14C20)

Related Items (17)

Iitaka fibrations for dlt pairs polarized by a nef and log big divisor ⋮ A relative spannedness for log canonical pairs and quasi-log canonical pairs ⋮ On the fixed part of pluricanonical systems for surfaces ⋮ Remark on complements on surfaces ⋮ Finite generation of the log canonical ring in dimension four ⋮ On boundedness of singularities and minimal log discrepancies of Kollár components ⋮ On quasi-log schemes ⋮ Effective base point free theorem for log canonical pairs. II: Angehrn-Siu type theorems ⋮ Strong \((\delta,n)\)-complements for semi-stable morphisms ⋮ Semi-negativity of Hodge bundles associated to Du Bois families ⋮ A transcendental approach to Kollár's injectivity theorem ⋮ Effective base point free theorem for log canonical pairs --- Kollár type theorem ⋮ Boundedness of \((\epsilon, n)\)-complements for surfaces ⋮ Theory of non-lc ideal sheaves: basic properties ⋮ On the effective freeness of the direct images of pluricanonical bundles ⋮ ACC for log canonical thresholds ⋮ The dualizing sheaf on first-order deformations of toric surface singularities

Cites Work

• Fundamental theorems for the log minimal model program
• 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
• Effective base point freeness

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