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Open Mathematics

formerly Central European Journal of Mathematics

Editor-in-Chief: Gianazza, Ugo / Vespri, Vincenzo

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Volume 2, Issue 3


Volume 13 (2015)

On log canonical divisors that are log quasi-numerically positive

Shigetaka Fukuda
Published Online: 2004-06-01 | DOI: https://doi.org/10.2478/BF02475234


Let (X Δ) be a four-dimensional log variety that is projective over the field of complex numbers. Assume that (X, Δ) is not Kawamata log terminal (klt) but divisorial log terminal (dlt). First we introduce the notion of “log quasi-numerically positive”, by relaxing that of “numerically positive”. Next we prove that, if the log canonical divisorK X+Δ is log quasi-numerically positive on (X, Δ) then it is semi-ample.

Keywords: the log canonical divisor; divisorial log terminal; numerically positive; semi-ample MSC (2000); 14E30

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About the article

Published Online: 2004-06-01

Published in Print: 2004-06-01

Citation Information: Open Mathematics, Volume 2, Issue 3, Pages 377–381, ISSN (Online) 2391-5455, DOI: https://doi.org/10.2478/BF02475234.

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© 2004 Versita Warsaw. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License. BY-NC-ND 3.0

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Shigetaka Fukuda
Journal of Mathematics, 2015, Volume 2015, Page 1

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