arXiv:1406.0459 Abstract | arXiv Analytics

arXiv:1406.0459 [math.DS]Abstract References Reviews Resources

A note on integrability and finite orbits for subgroups of Diff(C^n,0)

Published 2014-06-02Version 1

In this note we extend to arbitrary dimensions a couple of results due respectively to Mattei-Moussu and to Camara-Scardua in dimension 2. We also provide examples of singular foliations having a Siegel-type singularity and answering in the negative the central question left open in the previous work of Camara-Scardua.

Comments: This paper together with the paper "Discrete orbits, recurrence and solvable subgroups of Diff(C^2,0)" correspond to an expanded and accurate version of our previous preprint "Discrete orbits and special subgroups of Diff(C^n,0)" arXiv:1301.3716

Categories: math.DS

Keywords: finite orbits, central question left open, integrability, singular foliations, camara-scardua

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