A construction of hyperbolic hypersurface of \(P^ n(C)\)
type: Item
instance of: scholarly article
title: A construction of hyperbolic hypersurface of \(P^ n(C)\)
zbMATH Open document ID: 0844.32018
DOI: 10.1007/BF01446298
author: Kazuo Masuda
author: Junjiro Noguchi
published in: Mathematische Annalen
publication date: 1996-03-31T00:00:00Z
full work available at URL: https://eudml.org/doc/165408
review text: S. Kobayashi conjectured in 1970 that a generic hypersurface of large degree of the complex projective space \(\mathbb{P}^n (\mathbb{C})\) of dimension \(n\) is hyperbolic, and that its complement is hyperbolic and moreover hyperbolically embedded into \(\mathbb{P}^n (\mathbb{C})\). Even the existence of such hypersurfaces has been known only for \(n \leq 3\). In this paper we construct such hypersurfaces for all \(n \geq 2\).
Mathematics Subject Classification ID: 32Q45
Mathematics Subject Classification ID: 32F45
zbMATH DE Number: 861917
zbMATH Keywords: hyperbolic hypersurface
zbMATH Keywords: complex projective space
reviewed by: K. Masuda
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 861917