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Milnor numbers for surface singularities

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Abstract

An additive formula for the Milnor number of an isolated complex hypersurface singularity is shown. We apply this formula for studying surface singularities. Durfee's conjecture is proved for any absolutely isolated surface and a generalization of Yomdin singularities is given.

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Authors and Affiliations

  1. Departamento de Geometría y Topología, Facultad de Matemáticas, Universidad Complutense de madrid, E-28040, Madrid, Spain

    A. Melle-Hernández

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  1. A. Melle-Hernández
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Additional information

This work was supported in part by a Spanish FPI'91 grant and by the Spanish project PB94-0291.

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Melle-Hernández, A. Milnor numbers for surface singularities. Isr. J. Math. 115, 29–50 (2000). https://doi.org/10.1007/BF02810579

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  • DOI: https://doi.org/10.1007/BF02810579

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