arXiv 1401.22492014-01-10math.CV

Presence or absence of analytic structure in maximal ideal spaces

Alexander J. Izzo, Håkan Samuelsson Kalm, Erlend Fornæss Wold

备注：: Comments are welcome!
发表信息：: Math. Ann. (2016) 366: 459-478
DOI：: 10.1007/s00208-015-1330-9

英文摘要：

We study extensions of Wermer's maximality theorem to several complex variables. We exhibit various smoothly embedded manifolds in complex Euclidean space whose hulls are non-trivial but contain no analytic disks. We answer a question posed by Lee Stout concerning the existence of analytic structure for a uniform algebra whose maximal ideal space is a manifold.

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