On Numerically Effective Log Canonical Divisors
Abstract
Let (X,) 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 KX+ is semi-ample, if it is nef (numerically effective) and the Iitaka dimension (X,KX+) is strictly positive. For the proof, we use Fujino's abundance theorem for semi log canonical threefolds.
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