Open Whitney umbrellas are locally polynomially convex

DOI10.1090/proc/13251zbMath1353.32012arXiv1602.05948OpenAlexW2964304108MaRDI QIDQ2827379

Octavian Mitrea, Rasul Shafikov

Publication date: 19 October 2016

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.05948

zbMATH Keywords

symplectic structureLagrangian manifoldplurisubharmonic functionpolynomial convexity

Mathematics Subject Classification ID

Real submanifolds in complex manifolds (32V40) Polynomial convexity, rational convexity, meromorphic convexity in several complex variables (32E20) Lagrangian submanifolds; Maslov index (53D12) Holomorphic, polynomial and rational approximation, and interpolation in several complex variables; Runge pairs (32E30)

Cites Work

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• Singularities of vector fields on the plane
• Rationally convex domains and singular Lagrangian surfaces in \(\mathbb {C}^2\)
• Polynomially convex hulls of singular real manifolds
• Polynomial approximation on real-analytic varieties in $\mathbf {C}^n$
• Local Polynomial Convexity of the Unfolded Whitney Umbrella in ℂ2

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