Truncated Local Uniformization of Formal Integrable Differential Forms

Autor:	Cano Torres, Felipe, Fernández Duque, Miguel
Rok vydání:	2021
Předmět:	Mathematics - Algebraic Geometry 12 Matemáticas Applied Mathematics Local uniformization FOS: Mathematics Codimension one singular foliations Discrete Mathematics and Combinatorics Reduction of singularities 14E15 32S65 Algebraic Geometry (math.AG)
Zdroj:	UVaDOC. Repositorio Documental de la Universidad de Valladolid instname
ISSN:	1662-3592 1575-5460
DOI:	10.1007/s12346-021-00549-8
Popis:	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
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b720f249443c3e1af18a4717af7d26e4 https://doi.org/10.1007/s12346-021-00549-8 Zobrazit plný text záznamu Full text from SpringerLink