Generic Singularities of Holomorphic Foliations

Details Generic Singularities of Holomorphic Foliations Generic Singularities of Holomorphic Foliations

1993-09-21

arxiv.org/abs/alg-geom/9309004v1

Mathematics

Algebraic Geometry

9 pages, LaTeX version 2.09

Scientific paper

A holomorphic foliation is defined as an integrable coherent subsheaf of the
tangent sheaf. The structure of the leaves around a singularity is read off
from the structure of the stalks. This was done by Baum when the dimension of
the singular set is one less than the leaf dimension. In this article we study
the general case and construct some examples.

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