On proper integral curves of polynomial vector fields

DOI10.1016/S0040-9383(97)00088-8zbMath0952.32020MaRDI QIDQ1292659

Marco Brunella

Publication date: 3 January 2001

Published in: Topology (Search for Journal in Brave)

zbMATH Keywords

holomorphic foliationleafpolynomial vector fieldsingularities of holomorphic vector fields

Mathematics Subject Classification ID

Singularities of holomorphic vector fields and foliations (32S65)

Related Items (12)

Analytic automorphisms of \({\mathbb{C}^2}\) generated by polynomial vector fields ⋮ Vector fields with simply connected trajectories transverse to a polynomial ⋮ On vector fields with simply connected trajectories and one invariant line ⋮ Complete algebraic vector fields on affine surfaces ⋮ Proper trajectories of type \({\mathbb{C}^{\ast}}\) of a polynomial vector field on \({\mathbb{C}^2}\) ⋮ Completeness is determined by any non-algebraic trajectory ⋮ Complements of graphs of meromorphic functions and complete vector fields ⋮ COMPLETE VECTOR FIELDS ON ℂ² WHOSE UNDERLYING FOLIATION IS POLYNOMIAL ⋮ Complex polynomial vector fields having a finitely curved orbit ⋮ The completeness of a polynomial vector field is determined by a transcendental trajectory ⋮ Zeroes of complete polynomial vector fields ⋮ Meromorphic vector fields with single-valued solutions on complex surfaces

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