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

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

2003-06-25

arxiv.org/abs/math/0306360v1

Funct. Anal. Appl. 39 (2005), 90-94

Mathematics

Algebraic Geometry

4 pages, Latex

Scientific paper

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.

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