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- W4298182783 abstract "A piecewise smooth domain is said to have generic corners if the corners are generic CR manifolds. It is shown that a biholomorphic mapping from a piecewise smooth pseudoconvex domain with generic corners in complex Euclidean space that satisfies Condition R to another domain extends as a smooth diffeomorphism of the respective closures if and only if the target domain is also piecewise smooth with generic corners and satisfies Condition R. Further it is shown that a proper map from a domain with generic corners satisfying Condition R to a product domain of the same dimension extends continuously to the closure of the source domain in such a way that the extension is smooth on the smooth part of the boundary. In particular, the existence of such a proper mapping forces the smooth part of the boundary of the source to be Levi degenerate." @default.
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- W4298182783 date "2012-09-03" @default.
- W4298182783 modified "2023-10-18" @default.
- W4298182783 title "Condition R and holomorphic mappings of domains with generic corners" @default.
- W4298182783 doi "https://doi.org/10.48550/arxiv.1209.0325" @default.
- W4298182783 hasPublicationYear "2012" @default.
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