Journal of the Mathematical Society of Japan
Online ISSN : 1881-1167
Print ISSN : 0025-5645
ISSN-L : 0025-5645
Classification of the fundamental groups of join-type curves of degree seven
Christophe EyralMutsuo Oka
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2015 Volume 67 Issue 2 Pages 663-698

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Abstract

We compute the fundamental groups π1(ℙ2 \ C) for all complex curves C of degree 7 defined by an equation of the formwhere ∑j=1 νj = ∑mi=1 λi is the degree of the curve, c ∈ ℝ \ {0}, and β1,…,β (respectively α1,…,αm) mutually distinct real numbers.

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© 2015 The Mathematical Society of Japan
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