Generalized flow-box property for singular foliations

DOI10.1007/S13398-018-0596-7zbMath1433.37032arXiv1711.09948OpenAlexW2963638290MaRDI QIDQ2331748

Daniel Panazzolo, André Belotto da Silva

Publication date: 30 October 2019

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.09948

zbMATH Keywords

resolution of singularitiesvector fieldfoliationsflow-box theorem

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Global theory and resolution of singularities (algebro-geometric aspects) (14E15) Equisingularity (topological and analytic) (32S15) Singularities of holomorphic vector fields and foliations (32S65) Foliations in differential topology; geometric theory (57R30) Obstructions to group actions ((K)-theoretic aspects) (19J35) General theory of group and pseudogroup actions (22F05) Foliations generated by dynamical systems (37C86)

Cites Work

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• Singularities of holomorphic foliations
• On the existence of slices for actions of non-compact Lie groups
• Global resolution of singularities subordinated to a 1-dimensional foliation
• Modules de feuilletages holomorphes singuliers. I: équisingularité. (Modules of singular holomorphic foliations. I: Equisingularity)
• Functoriality in resolution of singularities
• The local analytical triviality of a complex analytic singular foliation

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