2024-03-29T02:27:37Zhttps://uvadoc.uva.es/oai/requestoai:uvadoc.uva.es:10324/522102022-04-05T07:43:44Zcom_10324_1129com_10324_931com_10324_894col_10324_1193
Cano Torres, Felipe
2a0c1ede07d04395
600
0000-0002-5873-1805
Fernández Duque, Miguel
28370817-7844-4fa9-bc87-07bf7d0c8331
600
2022-03-01T10:04:41Z
2022-03-01T10:04:41Z
2021
Qualitative Theory of Dynamical Systems, 2021, vol. 21, n.18
1575-5460
https://uvadoc.uva.es/handle/10324/52210
10.1007/s12346-021-00549-8
18
Qualitative Theory of Dynamical Systems
21
1662-3592
Producción Científica
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.
Ministerio de Economía y Competitividad (project MTM2016-77642-C2-1-P)
Ministerio de Ciencia e Innovación (grant PID2019-105621GB-I00)
Publicación en abierto financiada por el Consorcio de Bibliotecas Universitarias de Castilla y León (BUCLE), con cargo al Programa Operativo 2014ES16RFOP009 FEDER 2014-2020 DE CASTILLA Y LEÓN, Actuación:20007-CL - Apoyo Consorcio BUCLE
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eng
Springer
info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by/4.0/
© 2021 The Authors
Atribución 4.0 Internacional
Reduction of singularities
Codimension one singular foliations
Local uniformization
12 Matemáticas
Truncated local uniformization of formal integrable differential forms
info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
https://link.springer.com/article/10.1007/s12346-021-00549-8
SI
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Truncated-local-uniformization.pdf
Truncated-local-uniformization.pdf
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oai:uvadoc.uva.es:10324/52210
2022-04-05 09:43:44.144
UVaDOC
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