Non-oscillating integral curves and valuations

DOI10.1515/crll.2005.2005.582.107zbMath1078.32020OpenAlexW2082272304MaRDI QIDQ4680390

Felipe Cano, Jean-Philippe Rolin, Robert Moussu

Publication date: 1 June 2005

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/crll.2005.2005.582.107

zbMATH Keywords

vector fieldsub-analytically non-osculating

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10) Singularities of holomorphic vector fields and foliations (32S65) Complex vector fields, holomorphic foliations, (mathbb{C})-actions (32M25)

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Nonoscillating projections for trajectories of vector fields ⋮ Resolution of singularities of real-analytic vector fields in dimension three ⋮ Stable manifolds of biholomorphisms in Cn$\mathbb {C}^n$ asymptotic to formal curves ⋮ On restricted analytic gradients on analytic isolated surface singularities ⋮ Uniformizing complex ODEs and applications ⋮ The Action of a Plane Singular Holomorphic Flow on a Non-invariant Branch ⋮ Blowings-Up of Vector Fields ⋮ Course on Non-oscillatory Trajectories ⋮ A differential Puiseux theorem in generalized series fields of finite rank ⋮ Examples of infinitesimal nontrivial accumulation of secants in dimension three ⋮ Reduction of singularities of three-dimensional line foliations ⋮ Truncated local uniformization of formal integrable differential forms ⋮ Singular Felipe ⋮ Solitary trajectories of analytic vector fields ⋮ Generalised power series solutions of sub-analytic differential equations

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