Oka properties of some hypersurface complements
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Publication:5398124
DOI10.1090/S0002-9939-2013-11754-5zbMath1297.32015arXiv1111.6655OpenAlexW2070239946MaRDI QIDQ5398124
Publication date: 26 February 2014
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1111.6655
sprayStein manifoldhyperbolic manifoldmeromorphic functionOka manifoldhypersurface complemententire holomorphic curve
Stein manifolds (32Q28) Stein spaces (32E10) Hyperbolic and Kobayashi hyperbolic manifolds (32Q45) Meromorphic mappings in several complex variables (32H04) Hypersurfaces and algebraic geometry (14J70)
Related Items (12)
Exceptional values of holomorphic functions. remarks on a Nishino's theorem ⋮ An Oka principle for a parametric infinite transitivity property ⋮ Oka manifolds: from Oka to Stein and back ⋮ Recent developments on Oka manifolds ⋮ New Complex Analytic Methods in the Study of Non-Orientable Minimal Surfaces in ℝⁿ ⋮ Oka properties of complements of holomorphically convex sets ⋮ Holomorphic maps with large images ⋮ Holomorphic flexibility properties of the space of cubic rational maps ⋮ Fatou-Bieberbach domains in \(\mathbb C^n\setminus\mathbb R^k\) ⋮ Elliptic characterization and localization of Oka manifolds ⋮ Algebraic subellipticity and dominability of blow-ups of affine spaces ⋮ Elliptic characterization and unification of Oka maps
Cites Work
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- Survey of Oka theory
- Holomorphic factorization of mappings into \(\mathrm{SL}_n(\mathbb{C})\)
- Oka manifolds
- Hyperbolicity of the complement of a generic smooth curve of high degree in the complex projective plane
- Algebraic surfaces holomorphically dominable by \(\mathbb{C}^2\)
- Stein Manifolds and Holomorphic Mappings
- Oka's Principle for Holomorphic Sections of Elliptic Bundles
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