Log pluricanonical representations and abundance conjecture

2011/04/03 by Osamu Fujino, Fujino, Osamu, Yoshinori Gongyo +1 · 2 citations
Mathematics · #Algebraic Geometry and Number Theory #Advanced Algebra and Geometry #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.1104.0361

Abstract

We prove the finiteness of log pluricanonical representations for projective log canonical pairs with semi-ample log canonical divisor. As a corollary, we obtain that the log canonical divisor of a projective semi log canonical pair is semi-ample if and only if so is the log canonical divisor of its normalization. We also treat many other applications.

Citations

• Introduction to the log minimal model program for log canonical pairs

Cited by

• Existence of log canonical flips and a special LMMP
• Surfaces of globally F-regular and F-split type

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