New examples of hyperbolic octic surfaces in $\PP^3$

Bernard Shiffman , Mikhail Zaidenberg (1)

1 IF - Institut Fourier

We show that a general small deformation of the union of two general cones in P3 of degree >= 4 is Kobayashi hyperbolic. Hence we obtain new examples of hyperbolic surfaces in P3 of any given degree d>= 8.

Domaines: Géométrie algébrique [math.AG]; Variables complexes [math.CV]

Bernard Shiffman, Mikhail Zaidenberg. New examples of hyperbolic octic surfaces in $\PP^3$. Functional Analysis and Its Applications, 2005, 39 (1), pp.76 - 79. ⟨10.1007/s10688-005-0020-x⟩. ⟨hal-03571083⟩