Hyperbolic hypersurfaces in the complex projective spaces of low dimensions
type: Item
instance of: scholarly article
title: Hyperbolic hypersurfaces in the complex projective spaces of low dimensions
zbMATH Open document ID: 0967.32023
author: Manabu Shirosaki
published in: Kodai Mathematical Journal
publication date: 2001-08-26T00:00:00Z
review text: The author constructs hyperbolic hypersurfaces in \(P^n(C)\) for \(n = 2, 3, 4\). Particularly, he constructs hyperbolic hypersurfaces in \(P^3(C)\) of degree 31 whose complements are complete hyperbolic and hyperbolically embedded into the space.
Mathematics Subject Classification ID: 32Q45
zbMATH DE Number: 1547126
reviewed by: A. N. Parshin
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2996/kmj/1138044212
OpenAlex ID: W2040578177
cites work: Some examples of algebraic degeneracy and hyperbolic manifolds
cites work: Compact Manifolds and Hyperbolicity
cites work: A family of smooth hyperbolic hypersurfaces in \(\mathbb{P}^3\)
cites work: Q4379894
cites work: On meromorphic maps into the complex projective space
cites work: Some Picard Theorems for Holomorphic Maps to Algebraic Varieties
cites work: Hyperbolic surfaces in ${\mathbb P}^3(\mathbb C)$
cites work: Q3764425
cites work: A construction of hyperbolic hypersurface of \(P^ n(C)\)
cites work: Hyperbolic surfaces in \({\mathbb{P}}^ 3\)
cites work: On some hypersurfaces and holomorphic mappings
cites work: STABILITY OF HYPERBOLIC IMBEDDEDNESS AND CONSTRUCTION OF EXAMPLES
DOI: 10.2996/KMJ/1138044212
description: scientific article; zbMATH DE number 1547126