Stratification of three-dimensional real flows I: Fitting domains

Autor: C. Alonso-González, F. Sanz Sánchez

Publikováno v: Journal of Differential Equations. 361:40-96

Producción Científica
Let ξ be an analytic vector field in R3 with an isolated singularity at the origin and having only hyperbolic singular points after a reduction of singularities π : M → R3. The union of the images by π of the local i

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a753e06e86865dcb399c0cbfd428fdf4
https://doi.org/10.1016/j.jde.2023.02.029

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Elimination of resonances in codimension one foliations

Autor: M. Fernández Duque

Publikováno v: Recercat. Dipósit de la Recerca de Catalunya
instname
Dipòsit Digital de Documents de la UAB
Universitat Autònoma de Barcelona
Publicacions Matemàtiques; Vol. 59, Núm. 1 (2015); p. 75-97
Recercat: Dipósit de la Recerca de Catalunya
Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Miguel Fernández Duque
Publ. Mat. 59, no. 1 (2015), 75-97

The problem of reduction of singularities for germs of codimension one foliations in dimension three has been solved by Cano in Reduction of the singularities of codimension one singular foliations in dimension three. The author divides the proof in

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::814cac4c95306bc2556a36b941d5dd47
http://hdl.handle.net/2072/404556

Truncated Local Uniformization of Formal Integrable Differential Forms

Autor: Cano Torres, Felipe, Fernández Duque, Miguel

Publikováno v: UVaDOC. Repositorio Documental de la Universidad de Valladolid
instname

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 inte

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b720f249443c3e1af18a4717af7d26e4
https://doi.org/10.1007/s12346-021-00549-8

Desingularizations of Plane Vector Fields

Autor: Cano, F.

Publikováno v: Transactions of the American Mathematical Society, 1986 Jul 01. 296(1), 83-93.

Externí odkaz: https://www.jstor.org/stable/2000561