English

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

Algebraic Geometry 2007-11-13 v1 Complex Variables

Abstract

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.

Keywords

Cite

@article{arxiv.math/0306360,
  title  = {New examples of hyperbolic octic surfaces in $\PP^3$},
  author = {Bernard Shiffman and Mikhail Zaidenberg},
  journal= {arXiv preprint arXiv:math/0306360},
  year   = {2007}
}

Comments

4 pages, Latex

R2 v1 2026-07-22T16:55:41.349Z