Periodic complex map germs and foliations
CÂMARA, LEONARDO M.; SCÁRDUA, BRUNO A..
An. acad. bras. ciênc
; 89(4): 2563-2579, Oct.-Dec. 2017. graf
Artículo
en Inglés
| LILACS | ID: biblio-886864
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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BR1.1
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