Please use this identifier to cite or link to this item: http://scholarbank.nus.edu.sg/handle/10635/102801
Title: ALGEBRAIC SURFACES with LOG CANONICAL SINGULARITIES and the FUNDAMENTAL GROUPS of THEIR SMOOTH PARTS
Authors: Zhang, D.-Q. 
Keywords: Affine-ruledness
Fundamental group
Log canonical singularity
Nef and big anti-canonical divisor
Issue Date: 1996
Source: Zhang, D.-Q. (1996). ALGEBRAIC SURFACES with LOG CANONICAL SINGULARITIES and the FUNDAMENTAL GROUPS of THEIR SMOOTH PARTS. Transactions of the American Mathematical Society 348 (10) : 4175-4184. ScholarBank@NUS Repository.
Abstract: Let (S, Δ) be a log surface with at worst log canonical singularities and reduced boundary Δ such that -(Ks + Δ) is nef and big. We shall prove that S° = S -SingS - Δ either has finite fundamental group or is affine-ruled. Moreover, π1 (S°) and the structure of S are determined in some sense when Δ = 0. © 1996 American Mathematical Society.
Source Title: Transactions of the American Mathematical Society
URI: http://scholarbank.nus.edu.sg/handle/10635/102801
ISSN: 00029947
Appears in Collections:Staff Publications

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