Journal of the
Korean Mathematical Society
JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008

Article

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J. Korean Math. Soc. 2003; 40(4): 595-607

Printed July 1, 2003

Copyright © The Korean Mathematical Society.

Some examples of hyperbolic hypersurfaces in the complex projective space

Hirotaka Fujimoto

Kanazawa University

Abstract

In the previous paper [6], the author constructed hyperbolic hypersurfaces of degree $2^n$ in the $n$-dimensional complex projective space for every $n \geq 3$. The purpose of this paper is to give some improvement of this result and to show some general methods of constructions of hyperbolic hypersurfaces of higher degree, which enable us to construct hyperbolic hypersurfaces of degree $d$ in the $n$-dimensional complex projective space for every $d \geq 2 \times 6^n$.

Keywords: hyperbolicity, complex manifold

MSC numbers: 32M05