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Contact Singularities

代数几何 2007-05-23 v1 复变函数

摘要

A contact singularity is a normal singularity (V,0)(V,0) together with a holomorphic contact form η\eta on V\V\backslash Sing VV in a neighbourhood of 0, i.e. η(dη)r\eta\wedge (d\eta)^r has no zero, where dim V=2r+1V=2r+1. The main result of this paper is that there are no isolated contact singularities.

关键词

引用

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

备注

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