Singular complete integrability
Identifieur interne : 001367 ( Main/Exploration ); précédent : 001366; suivant : 001368Singular complete integrability
Auteurs : Laurent Stolovitch [France]Source :
- Publications Mathématiques de l'Institut des Hautes Études Scientifiques [ 0073-8301 ] ; 2000-12-01.
Abstract
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.
Url:
DOI: 10.1007/BF02698742
Affiliations:
- France
- Midi-Pyrénées, Occitanie (région administrative)
- Toulouse
- Université Toulouse III - Paul Sabatier
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Le document en format XML
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