paper

Hyperbolicity of general deformations: proofs

arXiv:0709.3373 · doi:10.1007/s10688-009-0015-0

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.

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

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Hyperbolicity of general deformations: proofs · wovepaper