The Dynkin-presentation conjecture for discriminant-complement groups
The Dynkin-presentation conjecture for discriminant-complement groups
Let be a singular function with Milnor number , and let a Dynkin diagram of have vertex cardinality . Write for generators indexed by its vertices, and let denote the vertex index set. Dynkin-presentation conjecture. The fundamental group of the discriminant complement of a versal unfolding of has the presentation
Here the relations range over the indicated vertices in . This is proposed as a preferred finite presentation and would determine the fundamental group from the Dynkin diagram; the source gives no resolution.
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Sources & referencesView supporting material
Primary source
Michael Lönne, “Braid Monodromy of Hypersurface Singularities”, arXiv:math/0602371 (2006).
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