SOME EXAMPLES OF HYPERBOLIC HYPERSURFACES IN THE COMPLEX PROJECTIVE SPACE

Title & Authors
SOME EXAMPLES OF HYPERBOLIC HYPERSURFACES IN THE COMPLEX PROJECTIVE SPACE
Fujimoto, Hirotaka;

Abstract
In the previous paper [6], the author constructed hyperbolic hypersurfaces of degree $\small{2^{n}}$ in the n-dimensional complex projective space for every $\small{n\;\geq\;3}$. 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 $\small{d\;\geq\;2\;{\times}\;6^{n}}$.
Keywords
hyperbolicity;complex manifold;
Language
English
Cited by
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