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Contact singularities
Authors:Frédéric Campana  Hubert Flenner
Affiliation:1.Département de Mathématiques, Université Nancy 1, BP 239, 54506 Vandoeuvre-les-Nancy Cédex, France; e-mail: campana@iecn.u-nancy.fr,FR;2.Fakult?t für Mathematik der Ruhr-Universit?t, Universit?tsstr. 150, Geb. NA 2/72, 44780 Bochum, Germany; e-mail: Hubert.Flenner@ruhr-uni-bochum.de,DE
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. Received: 15 February 2001 / Revised version: 29 April 2002
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