Truncated Local Uniformization of Formal Integrable Differential Forms
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Universidad de Valladolid
info
ISSN: 1575-5460
Argitalpen urtea: 2022
Alea: 21
Zenbakia: 1
Mota: Artikulua
Beste argitalpen batzuk: Qualitative theory of dynamical systems
Laburpena
We prove the existence of Local Uniformization for rational codimension one foliations along rational rank one valuations, in any ambient dimension. This result is consequence of the Truncated Local Uniformization of integrable formal differential 1-forms, that we also state and prove in the paper. Thanks to the truncated approach, we perform a classical inductive procedure, based both in the control of the Newton Polygon and in the possibility of avoiding accumulations of values, given by the existence of suitable Tschirnhausen transformations.
Finantzaketari buruzko informazioa
The authors are grateful with O. Piltant, M. Spivakovsky and B. Teissier for many fruitful conversations on the subject. We specially thank the careful referees’ work and helpful comments. This work has been supported by the Spanish Research Project MTM2016-77642-C2-1-P (Grant No. PID2019-105621GB-I00 Spain) and the second author has been supported by the Post-Doctoral Program DGAPA at IM-UNAM (Mexico).Finantzatzaile
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