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# Hartogs' Theorem on Separate Holomorphicity for Projective Spaces

Published:2009-03-01
Printed: Mar 2009
• P. M. Gauthier
• E. S. Zeron
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## Abstract

If a mapping of several complex variables into projective space is holomorphic in each pair of variables, then it is globally holomorphic.
 Keywords: separately holomorphic, projective space
 MSC Classifications: 32A10 - Holomorphic functions 32D99 - None of the above, but in this section 32H99 - None of the above, but in this section