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Holomorphic Mappings into Projective Space with Lacunary Hyperplanes

Published online by Cambridge University Press:  22 January 2016

Peter Kiernan
Affiliation:
Department of Mathematics, University of British Columbia
Shoshichi Kobayashi
Affiliation:
Department of Mathematics, University of California, Berkeley
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In this note, we shall examine some results of Bloch [2] and Cartan [3] concerning complex projective space minus hyperplanes in general position. The purpose is to restate their results in a more general setting by using the intrinsic pseudo-distance defined on a complex space [16] and the concept of tautness introduced by Wu in [18]. In the process we shall generalize some results of Dufresnoy [4] and Fuj imoto [7].

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Type
Research Article
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1973