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Please use this identifier to cite or link to this item: http://hdl.handle.net/1807/9939

Title: Low-Dimensional Singularities with Free Divisors as Discriminants
Authors: Buchweitz, Ragnar-Olaf
Ebeling, Wolfgang
Graf Von Bothmer, Hans-Christian
Keywords: Singularities
Free Divisors
Discriminants
Issue Date: 2006
Abstract: We present versal complex analytic families, over a smooth base and of fibre dimension zero, one, or two, where the discriminant constitutes a free divisor. These families include finite flat maps, versal deformations of reduced curve singularities, and versal deformations of Gorenstein surface singularities in C5. It is shown that such free divisors often admit a “fast normalization”, obtained by a single application of the Grauert-Remmert normalization algorithm. For a particular Gorenstein surface singularity in C5, namely the simple elliptic singularity of type eA4, we exhibit an explicit discriminant matrix and show that the slice of the discriminant for a fixed j–invariant is the cone over the dual variety of an elliptic curve.
Description: http:arXiv.org/abs/math.AG/0612119 v 2 20 Dec 2006
URI: http://hdl.handle.net/1807/9939
Appears in Collections:Mathematics

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