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