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The boundary of the Milnor fibre of certain non-isolated singularities

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Abstract

Let \( \Phi : (\mathbb {C}^2, 0) \rightarrow ( \mathbb {C}^3, 0) \) be a finitely determined complex analytic germ and let \((\{f=0\},0)\) be the reduced equation of its image, a non-isolated hypersurface singularity. We provide the plumbing graph of the boundary of the Milnor fibre of f from the double-point-geometry of \(\Phi \).

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Authors and Affiliations

  1. Alfréd Rényi Institute of Mathematics, Hungarian Academy of Sciences, Reáltanoda utca 13-15, Budapest, 1053, Hungary

    András Némethi & Gergő Pintér

  2. Department of Geometry, ELTE - University of Budapest, Budapest, Hungary

    András Némethi

  3. BCAM - Basque Center for Applied Mathematics, Mazarredo, 14, 48009, Bilbao, Basque Country, Spain

    András Némethi

Authors
  1. András Némethi
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  2. Gergő Pintér
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Correspondence to Gergő Pintér.

Additional information

Both authors were partially supported by NKFIH Grant 112735 and ERC Advanced Grant LDTBud of A. Stipsicz at Rényi Institute of Mathematics, Budapest. GP was also supported by ‘Lendület’ program ‘LTDBud’ at Rényi Institute.

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Némethi, A., Pintér, G. The boundary of the Milnor fibre of certain non-isolated singularities. Period Math Hung 77, 34–57 (2018). https://doi.org/10.1007/s10998-018-0243-2

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