Hyperbolic hypersurfaces in P^n of Fermat-Waring type
Algebraic Geometry
2007-05-23 v1 Complex Variables
Abstract
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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Cite
@article{arxiv.math/0101126,
title = {Hyperbolic hypersurfaces in P^n of Fermat-Waring type},
author = {Bernard Shiffman and Mikhail Zaidenberg},
journal= {arXiv preprint arXiv:math/0101126},
year = {2007}
}
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5 pages