On the fundamental group of the complement¶of certain affine hypersurfaces |
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Authors: | Keita Tono |
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Institution: | (1) Department of Mathematics, Faculty of Science, Saitama University, Shimo-Okubo 255, Urawa Saitama 338, Japan. e-mail: ktono@rimath.saitama-u.ac.jp, JP |
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Abstract: | Let
and be two non-constant weighted homogeneous polynomials. Suppose that f and g are not powers of polynomials. Let p and q be two positive integers. In this paper, we calculate the fundamental group of the complement of the affine hypersurface
in . In particular, we prove that the fundamental group is determined by p and q.
Received: 29 January 1998 |
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Keywords: | Mathematics Subject Classification (1991):14E20 |
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