Log pluricanonical representations and abundance conjecture

Details Log pluricanonical representations and abundance conjecture Log pluricanonical representations and abundance conjecture

2011-04-03

arxiv.org/abs/1104.0361v3

Mathematics

Algebraic Geometry

35 pages, v2: minor modifications, v3: major revised

Scientific paper

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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