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Parabolic curves of diffeomorphisms asymptotic to formal invariant curves López Hernanz, Lorena Sanz Sánchez, Fernando We prove that if F is a tangent to the identity diffeomorphism at (C2,0) and \Gamma is a formal invariant curve of F which is not contained in the set of fixed points then there exists a parabolic curve (attracting or repelling) of F asymptotic to \Gamma. The first author was partially supported by CNPq, Brazil, process 479134/2013-8. Both authors were partially supported by Ministerio de Educación y Cultura, Spain, process MTM2013-46337-C2-1-P, and by Programa Hispano-Brasileño de Cooperación Interuniversitaria, process PHB2010-0122-PC 2024-06-21T09:48:20Z 2024-06-21T09:48:20Z 2018 info:eu-repo/semantics/article info:eu-repo/semantics/submittedVersion J. reine angew. Math. 739 (2018), 277–296 0075-4102 https://uvadoc.uva.es/handle/10324/68175 10.1515/crelle-2015-0064 277 739 296 Journal für die reine und angewandte Mathematik (Crelles Journal) 2018 1435-5345 eng info:eu-repo/semantics/openAccess application/pdf De Gruyter https://uvadoc.uva.es/bitstream/10324/68175/4/2018_Lopez-Sanz_Crelle.pdf.jpg Hispana TEXT http://rightsstatements.org/vocab/CNE/1.0/ UVaDOC. Repositorio Documental de la Universidad de Valladolid https://uvadoc.uva.es/handle/10324/68175