On numerically effective log canonical divisors

Shigetaka Fukuda

International Journal of Mathematics and Mathematical Sciences, 2002, vol. 30, 1-11

Abstract:

Let ( X , Δ ) be a 4 -dimensional log variety which is proper over the field of complex numbers and with only divisorial log terminal singularities. The log canonical divisor K X + Δ is semiample, if it is numerically effective (NEF) and the Iitaka dimension κ ( X , K X + Δ ) is strictly positive. For the proof, we use Fujino's abundance theorem for semi-log canonical threefolds.

Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:493827

DOI: 10.1155/S0161171202012450

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