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arxiv: math/0109064 · v1 · submitted 2001-09-10 · 🧮 math.AG · math.CV

Contact Singularities

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keywords contactsingularitiessingularitybackslashformholomorphicisolatedmain
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A contact singularity is a normal singularity $(V,0)$ together with a holomorphic contact form $\eta$ on $V\backslash$ Sing $V$ in a neighbourhood of 0, i.e. $\eta\wedge (d\eta)^r$ 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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