Complete proper holomorphic embeddings of strictly pseudoconvex domains into balls

We construct a complete proper holomorphic embedding from any strictly pseudoconvex domain with C2-boundary in Cn into the unit ball of CN, for N large enough, thereby answering a question of Alarcón and Forstnerič, 2013.

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Bibliographic Details
Published in:Journal of mathematical analysis and applications 2015-11, Vol.431 (2), p.705-713
Main Author: Drinovec Drnovšek, Barbara
Format: Article
Language:English
Subjects:
Complete map
Peak function
Proper holomorphic map
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Description
Summary:We construct a complete proper holomorphic embedding from any strictly pseudoconvex domain with C2-boundary in Cn into the unit ball of CN, for N large enough, thereby answering a question of Alarcón and Forstnerič, 2013.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2015.06.008