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Hartogs’ Theorem on Separate Holomorphicity for Projective Spaces

Published online by Cambridge University Press:  20 November 2018

P. M. Gauthier
Affiliation:
Département deMathématiques et de Statistique, Université de Montréal, Montréal, QC, H3C 3J7 e-mail: gauthier@dms.umontreal.ca
E. S. Zeron
Affiliation:
Depto. Matemáticas, CINVESTAV, México D.F., 07000, México e-mail: eszeron@math.cinvestav.mx
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Abstract

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If a mapping of several complex variables into projective space is holomorphic in each pair of variables, then it is globally holomorphic.

Information

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 2009