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Log pluricanonical representations and the abundance conjecture

Published online by Cambridge University Press:  10 March 2014

Osamu Fujino
Department of Mathematics, Faculty of Science, Kyoto University, Kyoto 606-8502, Japan email
Yoshinori Gongyo
Graduate School of Mathematical Sciences, The University of Tokyo, 3-8-1 Komaba, Meguro, Tokyo 153-8914, Japan email email
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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 the log canonical divisor of its normalization is semi-ample. We also treat many other applications.

Research Article
© The Author(s) 2014 


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