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Search: MSC category 32A10 ( Holomorphic functions )

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1. CMB 2009 (vol 52 pp. 84)

Gauthier, P. M.; Zeron, E. S.
Hartogs' Theorem on Separate Holomorphicity for Projective Spaces
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
Categories:32A10, 32D99, 32H99

2. CMB 2000 (vol 43 pp. 294)

Bracci, Filippo
Fixed Points of Commuting Holomorphic Maps Without Boundary Regularity
We identify a class of domains of $\C^n$ in which any two commuting holomorphic self-maps have a common fixed point.

Keywords:Holomorphic self-maps, commuting functions, fixed points, Wolff point, Julia's Lemma
Categories:32A10, 32A40, 32H15, 32A30

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