Geodesic
On a discriminant knot group problem of Brieskorn
Journal of Singularities, Tome 18 (2018), pp. 455-463

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Quite some time ago, at the singularity conference at Cargèse 1972, Brieskorn asked the following question: "Is the local fundamental group π_1^s(S-D) of the discriminant complement inside the semi-universal unfolding S of an isolated hypersurface singularity constant for s in the μ-constant stratum Σ_E?" We review this question and give an affirmative answer in case of singular plane curve germs of multiplicity at most 3.
DOI : 10.5427/jsing.2018.18x
Classification : 32S50primary, 14D05, 32S55, 20F36secondary 
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     author = {Michael L\"onne},
     title = {On a discriminant knot group problem of {Brieskorn}},
     journal = {Journal of Singularities},
     pages = {455--463},
     publisher = {mathdoc},
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     year = {2018},
     doi = {10.5427/jsing.2018.18x},
     url = {http://geodesic.mathdoc.fr/articles/10.5427/jsing.2018.18x/}
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Michael Lönne. On a discriminant knot group problem of Brieskorn. Journal of Singularities, Tome 18 (2018), pp. 455-463. doi: 10.5427/jsing.2018.18x

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