Local structure of holomorphic foliation singularities
Date
1998
Authors
Sertöz, S.
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Advisor
Supervisor
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Instructor
Source Title
Pacific Journal of Mathematics
Print ISSN
0030-8730
Electronic ISSN
1945-5844
Publisher
Mathematical Sciences Publishers
Volume
186
Issue
1
Pages
149 - 165
Language
English
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Journal Title
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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.