On log canonical divisors that are log quasi-numerically positive

• Autorzy: Shigetaka Fukuda
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

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

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2004
• Tom: 2
• Numer: 3
• Strony: 377-381

Daty

wydano

2004-06-01

online

2004-06-01

Twórcy

autor

Shigetaka Fukuda

• Gifu Shotoku Gakuen University

Bibliografia

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• [7] J. Kollár (Ed.).Flips and abundance for algebraic threefolds, Société Mathématique de France, Paris, 1992.
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• [9] K. Matsuki:A correction to the paper “Log abundance theorem for threefolds”, math. AG/0302360, February 2003.
• [10] V. Shokurov: “3-fold log flips”,Russian Acad. Sci. Izv. Math., Vol. 40, (1993), pp. 95–202. http://dx.doi.org/10.1070/IM1993v040n01ABEH001862

Identyfikatory

DOI

10.2478/BF02475234