Hartogs’ Theorem on Separate Holomorphicity for Projective Spaces
Canadian mathematical bulletin, Tome 52 (2009) no. 1, pp. 84-86
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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.
Mots-clés :
32A10, 32D99, 32H99, separately holomorphic, projective space
Gauthier, P. M.; Zeron, E. S. Hartogs’ Theorem on Separate Holomorphicity for Projective Spaces. Canadian mathematical bulletin, Tome 52 (2009) no. 1, pp. 84-86. doi: 10.4153/CMB-2009-010-8
@article{10_4153_CMB_2009_010_8,
author = {Gauthier, P. M. and Zeron, E. S.},
title = {Hartogs{\textquoteright} {Theorem} on {Separate} {Holomorphicity} for {Projective} {Spaces}},
journal = {Canadian mathematical bulletin},
pages = {84--86},
year = {2009},
volume = {52},
number = {1},
doi = {10.4153/CMB-2009-010-8},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2009-010-8/}
}
TY - JOUR AU - Gauthier, P. M. AU - Zeron, E. S. TI - Hartogs’ Theorem on Separate Holomorphicity for Projective Spaces JO - Canadian mathematical bulletin PY - 2009 SP - 84 EP - 86 VL - 52 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2009-010-8/ DO - 10.4153/CMB-2009-010-8 ID - 10_4153_CMB_2009_010_8 ER -
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