Hulls of Surfaces

In this paper it is shown that every compact two-dimensional manifold \(S\), with or without boundary, can be embedded in \(\mathbb C^3\) as a smooth submanifold \(\Sigma\) in such a way that the polynomially convex hull of \(\Sigma\), though strictly larger than \(\Sigma\), contains no analytic dis...

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Bibliographic Details
Published in:arXiv.org 2016-12
Main Authors: Izzo, Alexander J, Edgar Lee Stout
Format: Article
Language:English
Subjects:
Convexity
Hulls
Manifolds (mathematics)
Online Access:Get full text
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Summary:In this paper it is shown that every compact two-dimensional manifold \(S\), with or without boundary, can be embedded in \(\mathbb C^3\) as a smooth submanifold \(\Sigma\) in such a way that the polynomially convex hull of \(\Sigma\), though strictly larger than \(\Sigma\), contains no analytic disc.
ISSN:2331-8422