On the classification of nilpotent singularities

DOI10.1016/S0007-4497(99)00106-2zbMath0963.32021WikidataQ127343633 ScholiaQ127343633MaRDI QIDQ1301228

V. Pereyra

Publication date: 21 June 2001

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

zbMATH Keywords

rigidityholonomyholomorphic foliationssaddle-node

Mathematics Subject Classification ID

Singularities of holomorphic vector fields and foliations (32S65) Local complex singularities (32S05)

Related Items (9)

Analytic classification of a class of cuspidal foliations in \((\mathbb{C}^3, 0)\) ⋮ Foliations on \(\mathbb{P}^2\) with only one singular point ⋮ Foliations on \(\mathbb {CP}^2\) of degree \(d\) with a singular point with Milnor number \(d^2+d+1\) ⋮ A family of dicritical foliations with one singularity ⋮ On codimension one foliations with prescribed cuspidal separatrix ⋮ Local polar invariants and the Poincaré problem in the dicritical case ⋮ On the quasi-ordinary cuspidal foliations in \(\mathbb C^3, O\) ⋮ Isolated invariant curves of a foliation ⋮ The analytic and formal normal form for the nilpotent singularity. The case of generalized saddle-node

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