Periodic complex map germs and foliations
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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| Main Authors: | , |
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| Format: | Digital revista |
| Language: | English |
| Published: |
Academia Brasileira de Ciências
2017
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| Online Access: | http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652017000602563 |
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