No CrossRef data available.
Article contents
A Big Picard Theorem for Holomorphic Maps into Complex Projective Space
Published online by Cambridge University Press: 20 November 2018
Abstract
Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.
We prove a big Picard type extension theoremfor holomorphic maps 
$f\,:\,X\,-\,A\,\to \,M$, where 
$X$ is a complex manifold, 
$A$ is an analytic subvariety of $X$, and 
$M$ is the complement of the union of a set of hyperplanes in
${{\mathbb{P}}^{n}}$
but is not necessarily hyperbolically imbedded in
${{\mathbb{P}}^{n}}$.
Keywords
- Type
- Research Article
- Information
- Copyright
- Copyright © Canadian Mathematical Society 2009
References
[1] Dufresnoy, J., Théorie nouvelle des familles complexes normales. Applications à l’étude des fonctions algébroïdes. Ann. Sci. École Norm. Sup.
61(1944), 1–44.Google Scholar
[2] Fujimoto, H., Extensions of the big Picard's theorem. Tôhoku Math. J.
24(1972), 415–422.Google Scholar
[3] Green, M. L., Some Picard theorems for holomorphic maps to algebraic varieties. Amer. J. Math.
97(1975), 43–75.Google Scholar
[4] Kiernan, P., Extensions of holomorphic maps. Trans. Amer. Math. Soc.
172(1972), 347–355.Google Scholar
[5] Kobayashi, K., Hyperbolic manifolds and holomorphic mappings. In: Pure and Applied Mathematics 2, Marcel Dekker, Inc., New York, 1970.Google Scholar
[6] Kwack, M. H., Generalization of the big Picard theorem. Ann. of Math. (2)
90(1969), 9–22,Google Scholar
[7] Levin, A., The dimension of integral points and holomorphic curves on the complements of hyperplanes. math.NT/0601691, http://arxiv.org/pdf/math/0601691v1.Google Scholar
[8] Ru, M., Geometric and arithmetic aspects of ℙ
n minus hyperplanes. Amer. J. Math.
117(1995), no. 2, 307–321.Google Scholar
You have
Access