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

2007/09/04 by Osamu Fujino, Fujino, Osamu · 3 citations
Mathematics · #14C20 #14E30 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics #Geometry and complex manifolds #math.AG #msc:14C20 #msc:14E30

paper · pdf · doi:10.48550/arxiv.0709.0332

9 pages, v2: Appendix was added, minor revisions, v3: minor modifications, title changed, v4: minor modifications, to appear in Tohoku Math. J

openalex publication_date 2007/09/04 · arxiv created 2009/07/11 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove Kollár's effective base point free theorem for log canonical pairs.

Cited by

• Effective basepoint-free theorem for semi-log canonical surfaces
• Explicit Effective Birationality for Singular Surfaces
• Fundamental theorems for semi log canonical pairs

Related

• Kollár-type effective freeness for quasi-log canonical pairs
• Non-vanishing theorem for log canonical pairs
• Introduction to the log minimal model program for log canonical pairs
• Fundamental theorems for semi log canonical pairs
• Base point free theorems--saturation, b-divisors, and canonical bundle formula--