Hyperbolic hypersurfaces in Pn of Fermat-Waring type
Abstract
In this note we show that there are algebraic families of hyperbolic, Fermat-Waring type hypersurfaces in Pn of degree 4(n-1)2, for all dimensions n>1. Moreover, there are hyperbolic Fermat-Waring hypersurfaces in Pn of degree 4n2-2n+1 possessing complete hyperbolic, hyperbolically embedded complements.
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