Hulls of Surfaces

Alexander J. Izzo; Edgar Lee Stout

Hulls of Surfaces

Complex Variables 2016-12-28 v3

Authors: Alexander J. Izzo , Edgar Lee Stout

Abstract

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.

Keywords

surfaces and embeddings isometric immersions manifolds

Cite

@article{arxiv.1505.03939,
  title  = {Hulls of Surfaces},
  author = {Alexander J. Izzo and Edgar Lee Stout},
  journal= {arXiv preprint arXiv:1505.03939},
  year   = {2016}
}

Comments

An additional open question, concerning rational convexity, along with a partial solution, was added at the end of the paper. Also, one misleading statement in the proof of the main theorem was clarified

Hulls of Surfaces

Abstract

Keywords

Cite

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