1. CMB 2009 (vol 52 pp. 84)
|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)
|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