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Hartogs’ Theorem on Separate Holomorphicity for Projective Spaces

Published online by Cambridge University Press:  20 November 2018

P. M. Gauthier  and
E. S. Zeron
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.

Keywords

32A1032D9932H99separately holomorphicprojective space
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 52 , Issue 1 , 01 March 2009 , pp. 84 - 86
Copyright
Copyright © Canadian Mathematical Society 2009

References

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