Base point free theorems--saturation, b-divisors, and canonical bundle formula--

2005/08/29 by Osamu Fujino, Fujino, Osamu · 2 citations
Mathematics · #14E30 #Advanced Algebra and Geometry #Advanced Topology and Set Theory #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Primary 14C20 #Secondary 14N30

paper · pdf · doi:10.48550/arxiv.math/0508554

openalex publication_date 2005/08/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We reformulate base point free theorems. Our formulation is flexible and has some important applications. One of the main purposes of this paper is to prove a generalization of the base point free theorem in Fukuda's paper: On numerically effective log canonical divisors.

Citations

• A semiampleness criterion

Cited by

• On finiteness of relative log pluricanonical representations
• Existence of log canonical closures

Related

• Base point free theorem of Reid-Fukuda type
• Effective base point free theorem for log canonical pairs--Kollár type theorem
• Effective base point freeness on a normal surface
• Higher direct images of log canonical divisors and positivity theorems
• Abundance theorem for numerically trivial log canonical divisors of\n semi-log canonical pairs