Some remarks on log surfaces

Proceedings of the Japan Academy, Series A. Mathematical Sciences

article

Haidong Liu¹ 

[1] Department of Mathematics, Graduate School of Science, Kyoto University

关键词: Mahler problem;    Liouville number;    transcendental function.;   

DOI  :  10.3792/pjaa.93.115

学科分类：数学（综合）

来源: Japan Academy

【 摘 要 】

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.

【 授权许可】

Unknown