We show a class of perturbations X of the Fermat hypersurface such that any holomorphic curve from C info X is degenerate. Applying this result, we give explicit examples of hyperbolic surfaces in P-3(C) of arbitrary degree d greater than or equal to 22, and of curves of arbitrary degree d greater than or equal to 19 in P-2 (C) with hyperbolic complements.
机构:
Univ Roma Tre, Dipartimento Matemat & Fis, Largo San Leonardo Murialdo 1, I-00146 Rome, Italy
Univ Bari, Dipartimento Matemat, Via Edoardo Orabona 4, I-70125 Bari, ItalyUniv Roma Tre, Dipartimento Matemat & Fis, Largo San Leonardo Murialdo 1, I-00146 Rome, Italy