Vol. 186, No. 1, 1998

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Local structure of holomorphic foliation singularities

Sinan Sertöz

Vol. 186 (1998), No. 1, 149–165
Abstract

The local behaviour of the leaves of a singular holomorphic foliation is analyzed around the singularity. It is shown that certain integers classify the singular foliation germs. Maps from simpler classes to more complicated classes are constructed and it is shown that every foliation can be expressed in terms of simpler ones, under some mild assumptions.

Milestones
Received: 28 April 1997
Published: 1 November 1998
Authors
Sinan Sertöz
Bilkent University
06533 Bilkent
Ankara
Turkey