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On a discriminant knot group problem of Brieskorn

Title data

Lönne, Michael:
On a discriminant knot group problem of Brieskorn.
In: Journal of Singularities. Vol. 18 (2018) . - pp. 455-463.
ISSN 1949-2006
DOI: https://doi.org/10.5427/jsing.2018.18x

Abstract in another language

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.

Further data

Item Type: Article in a journal
Refereed: Yes
Keywords: plane curve singularity; discriminant knot group; μ-constant stratum; braid monodromy
Subject classification: Mathematics Subject Classification Code: 32S05 14B05 32S25
Institutions of the University: Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Former Professors > Professorship Algebraic Geometry - apl. Prof. Dr. Michael Lönne
Result of work at the UBT: Yes
DDC Subjects: 500 Science > 510 Mathematics
Date Deposited: 23 Nov 2021 10:06
Last Modified: 23 Nov 2021 10:06
URI: https://eref.uni-bayreuth.de/id/eprint/67979