Logarithmic models for non-dicritical foliations

DOI10.1016/j.bulsci.2020.102919zbMath1457.32083arXiv2005.11351OpenAlexW3026065115MaRDI QIDQ2220320

Nuria Corral, Felipe Cano

Publication date: 22 January 2021

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.11351

zbMATH Keywords

desingularizationlogarithmic formssingular foliationresidues

Mathematics Subject Classification ID

Singularities of holomorphic vector fields and foliations (32S65) Dynamical aspects of holomorphic foliations and vector fields (37F75)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Frobenius theorem for foliations on singular varieties
• Newton non-degenerate foliations and blowing-ups
• Modules de feuilletages holomorphes singuliers. I: équisingularité. (Modules of singular holomorphic foliations. I: Equisingularity)
• Topological invariants and equidesingularization for holomorphic vector fields
• Equations de Pfaff algébriques
• Invariant varieties through singularities of holomorphic vector fields
• Desingularization of non-dicritical holomorphic foliations and existence of separatrices
• Integral hypersurfaces and holomorphic manifolds
• Some remarks on indices of holomorphic vector fields
• About the topology of polar curves of some singular foliations
• Residues of holomorphic vector fields relative to singular invariant subvarieties
• Elimination of resonances in codimension one foliations
• Dicritical logarithmic foliations
• Reduction of the singularities of codimension one singular foliations in dimension three
• Resolution of singularities of an algebraic variety over a field of characteristic zero. I
• Formes logarithmiques et feuilletages non dicritiques
• ON CAMACHO–SAD'S THEOREM ABOUT THE EXISTENCE OF A SEPARATRIX
• Classification analytique des équations différentielles non linéaires résonnantes du premier ordre
• Formes tangentes à des actions commutatives
• Holonomie et intégrales premières
• Frontière d'une hypersurface pfaffienne
• Complex Analytic Desingularization
• Local Brunella's Alternative I. RICH Foliations
• Reduction of Singularities of the Differential Equation Ady = Bdx

This page was built for publication: Logarithmic models for non-dicritical foliations