Open Access
December 2017 Some remarks on log surfaces
Haidong Liu
Proc. Japan Acad. Ser. A Math. Sci. 93(10): 115-119 (December 2017). DOI: 10.3792/pjaa.93.115


Fujino and Tanaka established the minimal model theory for $\mathbf{Q}$-factorial log surfaces in characteristic 0 and $p$, respectively. We prove that every intermediate surface has only log terminal singularities if we run the minimal model program starting with a pair consisting of a smooth surface and a boundary $\mathbf{R}$-divisor. We further show that such a property does not hold if the initial surface is singular.


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Haidong Liu. "Some remarks on log surfaces." Proc. Japan Acad. Ser. A Math. Sci. 93 (10) 115 - 119, December 2017.


Published: December 2017
First available in Project Euclid: 30 November 2017

zbMATH: 06850985
MathSciNet: MR3732900
Digital Object Identifier: 10.3792/pjaa.93.115

Primary: 14E05
Secondary: 14E30

Keywords: $\varepsilon$-log terminal , minimal model program on log surfaces

Rights: Copyright © 2017 The Japan Academy

Vol.93 • No. 10 • December 2017
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