Hyperbolic hypersurfaces in P^n of Fermat-Waring type

Details Hyperbolic hypersurfaces in P^n of Fermat-Waring type Hyperbolic hypersurfaces in P^n of Fermat-Waring type

2001-01-16

arxiv.org/abs/math/0101126v1

Proc. Amer. Math. Soc. 130 (2002), 2031-2035.

Mathematics

Algebraic Geometry

5 pages

Scientific paper

In this note we show that there are algebraic families of hyperbolic,
Fermat-Waring type hypersurfaces in P^n of degree 4(n-1)^2, for all dimensions
n>1. Moreover, there are hyperbolic Fermat-Waring hypersurfaces in P^n of
degree 4n^2-2n+1 possessing complete hyperbolic, hyperbolically embedded
complements.

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