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On the commutativity of fundamental groups of complements to plane curves

Published online by Cambridge University Press:  01 January 1998

ICHIRO SHIMADA
ICHIRO SHIMADA
Affiliation:
Department of Mathematics, Faculty of Science, Hokkaido University, Sapporo 060; e-mail: shimada@math.hokudai.ac.jp
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Abstract

In this paper, we prove the following:

Theorem. Let C⊂ℙ3be a complex reduced irreducible space curve which is non- degenerate (i.e., C is not contained in any plane). Let p: C→ℙ2be a general projection. Then the topological fundamental group π1(ℙ2/p(C)) is abelian.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 123 , Issue 1 , January 1998 , pp. 49 - 52
Copyright
Cambridge Philosophical Society 1998

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