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Contact singularities

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Abstract.

 A contact singularity is a normal singularity (V,0) together with a holomorphic contact form η on V\ Sing V in a neighbourhood of 0, i.e. η∧ (dη)r has no zero, where dim V=2r+1. The main result of this paper is that there are no isolated contact singularities.

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Authors and Affiliations

  1. Département de Mathématiques, Université Nancy 1, BP 239, 54506 Vandoeuvre-les-Nancy Cédex, France; e-mail: campana@iecn.u-nancy.fr, , , , , , FR

    Frédéric Campana

  2. Fakultät für Mathematik der Ruhr-Universität, Universitätsstr. 150, Geb. NA 2/72, 44780 Bochum, Germany; e-mail: Hubert.Flenner@ruhr-uni-bochum.de, , , , , , DE

    Hubert Flenner

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  1. Frédéric Campana
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  2. Hubert Flenner
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Received: 15 February 2001 / Revised version: 29 April 2002

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Campana, F., Flenner, H. Contact singularities. Manuscripta Math. 108, 529–541 (2002). https://doi.org/10.1007/s002290200285

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  • DOI: https://doi.org/10.1007/s002290200285

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