Periodic complex map germs and foliations
AUTOR(ES)
CÂMARA, LEONARDO M., SCÁRDUA, BRUNO A.
FONTE
An. Acad. Bras. Ciênc.
DATA DE PUBLICAÇÃO
2017-12
RESUMO
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.
