# On log canonical divisors that are log quasi-numerically positive

Open Mathematics (2004)

- Volume: 2, Issue: 3, page 377-381
- ISSN: 2391-5455

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topShigetaka Fukuda. "On log canonical divisors that are log quasi-numerically positive." Open Mathematics 2.3 (2004): 377-381. <http://eudml.org/doc/268866>.

@article{ShigetakaFukuda2004,

abstract = {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.},

author = {Shigetaka Fukuda},

journal = {Open Mathematics},

keywords = {the log canonical divisor; divisorial log terminal; numerically positive; semi-ample MSC (2000); 14E30; semi-ample},

language = {eng},

number = {3},

pages = {377-381},

title = {On log canonical divisors that are log quasi-numerically positive},

url = {http://eudml.org/doc/268866},

volume = {2},

year = {2004},

}

TY - JOUR

AU - Shigetaka Fukuda

TI - On log canonical divisors that are log quasi-numerically positive

JO - Open Mathematics

PY - 2004

VL - 2

IS - 3

SP - 377

EP - 381

AB - 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.

LA - eng

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

UR - http://eudml.org/doc/268866

ER -

## References

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