Transactions of the American Mathematical Society

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

Author(s): D.-Q. Zhang
Journal: Trans. Amer. Math. Soc. 348 (1996), 4175-4184.
MSC (1991): Primary 14J45; Secondary 14E20, 14J26, 14J17
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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 $S$

are determined in some sense when $\Delta = 0$ .

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