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Contact Singularities

Frédéric Campana, Hubert Flenner

math.AGarXiv:math/0109064

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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