On Numerically Effective Log Canonical Divisors

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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 semi-ample, if it is nef (numerically effective) 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.
11 pages, AMSTex v2.1, the published version

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