Singular complete integrability |
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| Authors: | Laurent Stolovitch |
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| Affiliation: | (1) CNRS UMR 5580, Laboratoire émile-Picard, Université Paul-Sabatier, 118, route de Narbonne, 31062 Toulouse cedex 4, France |
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| Abstract: | We show that a holomorphic vector field in a neighbourhood of its singular point 0∈C n is analytically normalizable if it has a sufficiently large number of commuting holomorphic vector fields, a sufficiently large number of formal first integrals and that a diophantine small divisors condition related to the linear parts of its centralizer is satisfied. |
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