Algebraic surfaces with log canonical singularities and the fundamental groups of their smooth parts期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Algebraic surfaces with log canonical singularities and the fundamental groups of their smooth parts

Authors:	D.-Q. Zhang

Affiliation:	Department of Mathematics, National University of Singapore, Singapore

Abstract:	Let be a log surface with at worst log canonical singularities and reduced boundary such that $-(K_{S}+Delta )$ is nef and big. We shall prove that $S^{o} = S - Sing S - Delta$ either has finite fundamental group or is affine-ruled. Moreover, $pi _{1}(S^{o})$ and the structure of are determined in some sense when .

Keywords:	Log canonical singularity nef and big anti-canonical divisor fundamental group affine-ruledness

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