{ "id": "1406.0459", "version": "v1", "published": "2014-06-02T17:53:36.000Z", "updated": "2014-06-02T17:53:36.000Z", "title": "A note on integrability and finite orbits for subgroups of Diff(C^n,0)", "authors": [ "Julio C. Rebelo", "Helena Reis" ], "comment": "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" ], "abstract": "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.", "revisions": [ { "version": "v1", "updated": "2014-06-02T17:53:36.000Z" } ], "analyses": { "keywords": [ "finite orbits", "central question left open", "integrability", "singular foliations", "camara-scardua" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2014arXiv1406.0459R" } } }