English

Hyperbolicity of general deformations: proofs

Algebraic Geometry 2009-10-19 v2 Complex Variables

Abstract

We modify the deformation method explored previously in a joint work of B. Shiffman and the author, in order to construct further examples of Kobayashi hyperbolic surfaces in the projective 3-space of any even degree starting with degree 8.

Keywords

Cite

@article{arxiv.0709.3373,
  title  = {Hyperbolicity of general deformations: proofs},
  author = {Mikhail Zaidenberg},
  journal= {arXiv preprint arXiv:0709.3373},
  year   = {2009}
}

Comments

10p. This text has intersection with another one (``Hyperbolicity of general deformations", arXiv:0709.2883v1 [math.AG]) of the same author. The difference is: the present one contains complete proofs, whereas the previous one is the content of the authors talk at the conference ``Effective Aspects of Complex Hyperbolic Varieties", Aber Wrac'h, France, September 10-14, 2007

R2 v1 2026-06-21T09:19:56.187Z