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Hulls of Surfaces
In this paper, it is shown that every compact two-dimensional manifold S, with or without boundary, can be embedded in ℂ³ as a smooth submanifold Σ in such a way that the polynomially convex hull of Σ, though strictly larger than Σ, contains no analytic disc.
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| Published in: | Indiana University mathematics journal 2018-01, Vol.67 (5), p.2061-2087 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Citations: | Items that cite this one |
| 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 ℂ³ as a smooth submanifold Σ in such a way that the polynomially convex hull of Σ, though strictly larger than Σ, contains no analytic disc. |
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| ISSN: | 0022-2518 1943-5258 |
| DOI: | 10.1512/iumj.2018.67.6250 |