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Invariant symmetries of unimodal function singularities. (English) Zbl 1267.32028

The authors classify the finite order symmetries \(g\) of the 14 exceptional unimodal surface singularities, satisfying the following splitting condition: The rank 2 positive subspace of the corresponding Milnor fiber homology should not be contained in a single eigenspace of \(g_*\). Interesting relations to the hyperbolic complex reflection groups are also discussed.

MSC:

32S30 Deformations of complex singularities; vanishing cycles
20H10 Fuchsian groups and their generalizations (group-theoretic aspects)
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