Condition R and proper holomorphic maps between equidimensional product domains

Chakrabarti, Debraj and Verma, Kaushal (2013) Condition R and proper holomorphic maps between equidimensional product domains. In: ADVANCES IN MATHEMATICS, 248 . pp. 820-842.

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Abstract

We consider proper holomorphic mappings of equidimensional pseudoconvex domains in complex Euclidean space, where both source and target can be represented as Cartesian products of smoothly bounded domains. It is shown that such mappings extend smoothly up to the closures of the domains, provided each factor of the source satisfies Condition R. It also shown that the number of smoothly bounded factors in the source and target must be the same, and the proper holomorphic map splits as a product of proper mappings between the factor domains. (C) 2013 Elsevier Inc. All rights reserved.

Item Type:	Journal Article
Publication:	ADVANCES IN MATHEMATICS
Publisher:	ACADEMIC PRESS INC ELSEVIER SCIENCE
Additional Information:	copyright for this article belongs to Elsevier Science
Keywords:	Proper holomorphic mappings; Condition R
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	11 Nov 2013 05:13
Last Modified:	11 Nov 2013 05:13
URI:	http://eprints.iisc.ac.in/id/eprint/47730

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