Log pluricanonical representations and the abundance conjecture

Log pluricanonical representations and the abundance conjecture
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DOI:
10.1112/s0010437x13007495
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发表时间:
2014-03
影响因子:
1.8
通讯作者:
Osamu Fujino;Yoshinori Gongyo
Osamu Fujino;Yoshinori Gongyo
中科院分区:
数学1区
文献类型:
--
作者:
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 the log canonical divisor of its normalization is semi-ample. We also treat many other applications.