RT info:eu-repo/semantics/article
T1 Truncated local uniformization of formal integrable differential forms
A1 Cano Torres, Felipe
A1 Fernández Duque, Miguel
K1 Reduction of singularities
K1 Codimension one singular foliations
K1 Local uniformization
K1 12 Matemáticas
AB 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.
PB Springer
SN 1575-5460
YR 2021
FD 2021
LK https://uvadoc.uva.es/handle/10324/52210
UL https://uvadoc.uva.es/handle/10324/52210
LA eng
NO Qualitative Theory of Dynamical Systems, 2021, vol. 21, n.18
NO Producción Científica
DS UVaDOC
RD 27-jul-2024