%0 Journal Article
%T Discrete orbits, recurrence and solvable subgroups of Diff(C^2,0)
%A Julio C. Rebelo
%A Helena Reis
%J Mathematics
%D 2014
%I arXiv
%X We discuss the local dynamics of a subgroup of Diff(C^2,0) possessing locally discrete orbits as well as the structure of the recurrent set for more general groups. It is proved, in particular, that a subgroup of Diff(C^2,0) possessing locally discrete orbits must be virtually solvable. These results are of considerable interest in problems concerning integrable systems.
%U http://arxiv.org/abs/1406.0461v2