On the classification of non-integrable complex distributions

DOI10.1016/S0019-3577(06)80040-6zbMath1111.32032arXivmath/0406421OpenAlexW1680002135MaRDI QIDQ855789

Toshikazu Ito, Bruno C. Azevedo Scárdua

Publication date: 7 December 2006

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0406421

zbMATH Keywords

integral manifoldholomorphic forms

Mathematics Subject Classification ID

Singularities of holomorphic vector fields and foliations (32S65) Local complex singularities (32S05) Topological aspects of complex singularities: Lefschetz theorems, topological classification, invariants (32S50) Classification; finite determinacy of map germs (58K40) Other operations on complex singularities (32S70)

Related Items (3)

Degeneracy locus of critical points of the distance function on a holomorphic foliation ⋮ Transversality of complex linear distributions with spheres, contact forms and Morse type foliations ⋮ Residues for maps generically transverse to distributions

Cites Work

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• Equations de Pfaff algébriques
• Invariant varieties through singularities of holomorphic vector fields
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• Frobenius avec singularites. I: Codimension un
• The topology of holomorphic flows with singularity
• A Poincaré-Hopf-type theorem for holomorphic one-forms
• Classification analytique des feuilletages singuliers réduits de codimension 1 en dimension n\geq 3

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