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Contact Singularities

Frédéric Campana·Hubert Flenner
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Abstract

A contact singularity is a normal singularity $(V,0)$ together with a holomorphic contact form $η$ on $V\backslash$ Sing $V$ in a neighbourhood of 0, i.e. $η\wedge (dη)^r$ 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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Frédéric Campana, Hubert Flenner. 2001-09-10. Contact Singularities. https://arxiv.org/abs/math/0109064

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