Invariants of germs of analytic differential equations in the complex plane

We study the classification of germs of differential equations in the complex plane giving a complete set of analytic invariants determining the analytic type of the underlying foliation. In particular we answer in affirmative a conjecture of S. Voronin, and generalize some previous results about dicritical singularities in a straightforward manner. Such problem has its origins in a conjecture proposed by R. Thom in the mid-1970s.

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Bibliographic Details
Main Author: Câmara,Leonardo M.
Format: Digital revista
Language:English
Published: Academia Brasileira de Ciências 2005
Online Access:http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652005000100001
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