Local polynomial hulls of discs near isolated parabolic points

DOI10.1512/iumj.1997.46.1501zbMath0901.32010OpenAlexW2026654287MaRDI QIDQ4399322

Burglind Jöricke

Publication date: 28 July 1998

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: http://www.iumj.indiana.edu/TOC/973.htm

zbMATH Keywords

parabolic pointscharacteristic foliationanalytic discspolynomial convexitypolynomial hullssingularities of planar vector fieldsstrong unstable and centre manifolds

Mathematics Subject Classification ID

Real submanifolds in complex manifolds (32V40) Polynomial convexity, rational convexity, meromorphic convexity in several complex variables (32E20) Singularities of holomorphic vector fields and foliations (32S65)

Related Items (8)

Polynomial convexity and polynomial approximations of certain sets in \(\mathbb{C}^{2n}\) with non-isolated CR-singularities ⋮ Stein domains in complex surfaces ⋮ The local polynomial hull near a degenerate CR singularity: Bishop discs revisited ⋮ Normal forms and degenerate CR singularities ⋮ Polynomial approximation, local polynomial convexity, and degenerate CR singularities ⋮ Polynomially convex hulls of singular real manifolds ⋮ Polynomially convex embeddings of even-dimensional compact manifolds ⋮ Surfaces with degenerate CR singularities that are locally polynomially convex

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