Nef dimension of minimal models

Details Nef dimension of minimal models Nef dimension of minimal models

2003-01-26

arxiv.org/abs/math/0301305v1

Mathematics

Algebraic Geometry

LaTex, 14 pages

Scientific paper

We reduce the Abundance Conjecture in dimension 4 to the following numerical
statement: if the canonical divisor K is nef and has maximal nef dimension,
then K is big. From this point of view, we ``classify'' in dimension 2 nef
divisors which have maximal nef dimension, but which are not big.

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