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

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

Authors:	D-Q Zhang

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

Abstract:	Let $(S, \Delta )$ be a log surface with at worst log canonical singularities and reduced boundary $\Delta$ 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 $\Delta = 0$ .

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

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