American Journal of Mathematical Analysis. 2015, 3(1), 19-20
DOI: 10.12691/ajma-3-1-4
Open AccessArticle
YUKINOBU ADACHI1,
1Yukinobu Adachi, Kurakuen, Nishinomiya, Hyogo, Japan
Pub. Date: February 06, 2015
Cite this paper:
YUKINOBU ADACHI. On the Analytic Curve of C2 which is not Omitted by Every Fatou-Bieberbach Domain. American Journal of Mathematical Analysis. 2015; 3(1):19-20. doi: 10.12691/ajma-3-1-4
Abstract
Let C be an irreducible (may be transendental) analytic curve whose genus is geater than 1. Then every Fatou-Bieberbach domain does not omit C.Keywords:
fatou-bieberbach domain hyperbolic cuve transcendental algebraic type curve kobayashi hyperbolic
This work is licensed under a Creative Commons Attribution 4.0 International License. To view a copy of this license, visit
http://creativecommons.org/licenses/by/4.0/
References:
| [1] | Y. Adachi, A generalization of the big Picard theorem, Kodai Math. J., 18(1995), 408-424. |
| |
| [2] | Y. Adachi, Remarks about Fatou-Bieberbach domains and algebraic or non-algebraic curves in C2, Far East J. Math. Soc. (FJMS), 34 (2009), 369-376. |
| |
| [3] | Y. Adachi and Masakazu Suzuki, Degeneracy points of the Kobayashi pseudodistances on complex manifolds, Proceedings of Symposia in Pure Math., 52 (1991), Part 2, 41-51. |
| |
| [4] | G. T. Buzzard and J. E. Fornaess, An embedding of C in C2 with hyperbolic complement, Math. Ann. 306 (1996), 539-546. |
| |
| [5] | T. Nishino, Nouvelles recherches sur les fonctions entières de plusieurs variables conplexes (V) Fonctions qui se réduisent aux polynômes, J. Math. Kyoto Univ., 15 (1975), 527-553. |
| |
| [6] | J. P. Rosay and W. Rudin, Holomorphic maps from Cn to Cn, Trans. A. M. S., 310 (1988), 47-86. |
| |