The index of singularities of vector fields and finite jets

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Title:	The index of singularities of vector fields and finite jets
Author:	Llibre, Jaume; Saghin, Radu
Abstract:	Agraïments: The second author has been supported by Marie Curie IEF grant number 234559, and would like to thank CRM Barcelona for their hospitality.
Abstract:	We describe when the index of a singularity of a smooth vector field is determined by a finite jet at the singularity. We also give some criteria to determine some terms from the formal series expansion of the vector field at the singularity which determine the index.
Subject(s):	-Topological index -Vector fields -Newton diagram
Rights:	open access Tots els drets reservats. https://rightsstatements.org/vocab/InC/1.0/
Document type:	Article
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Uri:	https://ddd.uab.cat/record/150416