A Fatou type theorem for complex map germs
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- by Leonardo Câmara and Bruno Scárdua
- Conform. Geom. Dyn. 16 (2012), 256-268
- DOI: https://doi.org/10.1090/S1088-4173-2012-00242-1
- Published electronically: August 28, 2012
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Abstract:
In this paper we prove a Fatou type theorem for complex map germs. More precisely, we give (generic) conditions assuring the existence of parabolic curves for complex map germs tangent to the identity, in terms of existence of suitable formal separatrices. Such a map cannot have finite orbits.References
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Bibliographic Information
- Leonardo Câmara
- Affiliation: Departamento de Matemática - CCE, Universidade Federal do Espírito Santo, CP. 68530, Av. Fernando Ferrari 514, 29075-910 - Vitória - ES, Brazil
- Email: leonardo.camara@ufes.br
- Bruno Scárdua
- Affiliation: Instituto de Matemática - Universidade Federal do Rio de Janeiro, CP. 68530-Rio de Janeiro-RJ, 21945-970 - Brazil
- Email: scardua@im.ufrj.br
- Received by editor(s): September 20, 2011
- Published electronically: August 28, 2012
- © Copyright 2012
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Conform. Geom. Dyn. 16 (2012), 256-268
- MSC (2010): Primary 32S65, 37F99; Secondary 32H50, 37F75, 37F10
- DOI: https://doi.org/10.1090/S1088-4173-2012-00242-1
- MathSciNet review: 2964678