Contact Singularities

Details Contact Singularities Contact Singularities

2001-09-10

arxiv.org/abs/math/0109064v1

Mathematics

Algebraic Geometry

11 pages, Latex, uses diagrams.tex of P. Taylor, see e.g. ftp://ftp.dante.de/pub/tex/macros/generic/diagrams/taylor/diagrams.t

Scientific paper

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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