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Hartogs' Theorem on Separate Holomorphicity for Projective Spaces

Open Access article
  Published:2009-03-01
 Printed: Mar 2009
Canadian Mathematical Bulletin
  • 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 separately holomorphic, projective space
MSC Classifications: 32A10, 32D99, 32H99 show english descriptions Holomorphic functions
None of the above, but in this section
None of the above, but in this section 32A10 - Holomorphic functions
32D99 - None of the above, but in this section
32H99 - None of the above, but in this section
 
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