Monodromy and topological classification of germs of holomorphic foliations

zbMath1308.32036arXiv1004.1552MaRDI QIDQ4649432

Jean-François Mattei, David Marin Perez

Publication date: 22 November 2012

Full work available at URL: https://arxiv.org/abs/1004.1552

zbMATH Keywords

singularitiesmonodromydifferential equationsholonomyholomorphic foliations

Mathematics Subject Classification ID

Singularities of holomorphic vector fields and foliations (32S65)

Related Items (10)

Analytic classification of a class of cuspidal foliations in \((\mathbb{C}^3, 0)\) ⋮ Nodal separators of holomorphic foliations ⋮ Compact invariant sets for global holomorphic foliations ⋮ Topological equivalence of holomorphic foliation germs of rank $1$ with isolated singularity in the Poincaré domain ⋮ Characteristic curves of holomorphic foliations ⋮ Localization of Atiyah classes ⋮ Constructing equivalences with some extensions to the divisor and topological invariance of projective holonomy ⋮ Mapping class group of a plane curve germ ⋮ Differentiable invariants of holomorphic foliations ⋮ Topology of singular holomorphic foliations along a compact divisor

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