Final forms for a three-dimensional vector field under blowing-up

DOI10.5802/aif.1091zbMath0607.58027OpenAlexW2313351434MaRDI QIDQ1085503

Felipe Cano

Publication date: 1987

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1987__37_2_151_0

zbMATH Keywords

desingularizationblowing-upsvector fields singularities

Mathematics Subject Classification ID

Theory of singularities and catastrophe theory (58K99) Differentiable maps on manifolds (58C25) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (7)

Global resolution of singularities subordinated to a 1-dimensional foliation ⋮ A resolution theorem for absolutely isolated singularities of holomorphic vector fields ⋮ Blowings-Up of Vector Fields ⋮ Absolutely isolated singularities of holomorphic vector fields ⋮ Germs of holomorphic vector fields in \(\mathbb{C}^ 3\) without a separatrix ⋮ Instability of equilibria in dimension three ⋮ Resolution of Singularities: An Introduction

Cites Work

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• Topological invariants and equidesingularization for holomorphic vector fields
• Invariant varieties through singularities of holomorphic vector fields
• Resolution of singularities of an algebraic variety over a field of characteristic zero. I
• Desingularizations of Plane Vector Fields
• Reduction of Singularities of the Differential Equation Ady = Bdx

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