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arXiv · 1104.0361

Log pluricanonical representations and abundance conjecture

Osamu Fujino·Yoshinori Gongyo
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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.

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Osamu Fujino, Yoshinori Gongyo. 2012-04-08. Log pluricanonical representations and abundance conjecture. https://arxiv.org/abs/1104.0361

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