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Periodic complex map germs and foliations

Overview of attention for article published in Anais da Academia Brasileira de Ciências, December 2017
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Title
Periodic complex map germs and foliations
Published in
Anais da Academia Brasileira de Ciências, December 2017
DOI 10.1590/0001-3765201720170233
Pubmed ID
Authors

LEONARDO M. CÂMARA, BRUNO A. SCÁRDUA

Abstract

In this paper we study topological and analytical conditions on the orbits of a germ of diffeomorphism in the complex plane in order to obtain periodicity. In particular, we give a simple proof of a finiteness criteria for groups of analytic diffeomorphisms, stated in Brochero Martínez 2003. As an application, we derive some consequences about the integrability of complex vector fields in dimension three in a neighborhood of a singular point.

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Mendeley readers

The data shown below were compiled from readership statistics for 2 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Unknown 2 100%

Demographic breakdown

Readers by professional status Count As %
Student > Bachelor 1 50%
Unknown 1 50%
Readers by discipline Count As %
Engineering 1 50%
Unknown 1 50%