Contact Singularities

Frédéric Campana; Hubert Flenner

Contact Singularities

Algebraic Geometry 2007-05-23 v1 Complex Variables

Authors: Frédéric Campana , Hubert Flenner

Abstract

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.

Keywords

contact geometry singularity theory

Cite

@article{arxiv.math/0109064,
  title  = {Contact Singularities},
  author = {Frédéric Campana and Hubert Flenner},
  journal= {arXiv preprint arXiv:math/0109064},
  year   = {2007}
}

Comments

11 pages, Latex, uses diagrams.tex of P. Taylor, see e.g. ftp://ftp.dante.de/pub/tex/macros/generic/diagrams/taylor/diagrams.tex. To appear in manuscripta math

Contact Singularities

Abstract

Keywords

Cite

Comments

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