Hyperbolicity in unbounded convex domains

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We provide several equivalent characterizations of Kobayashi hyperbolicity in unbounded convex domains in terms of peak and anti-peak functions at infinity, affine lines, Bergman metric and iteration theory.
11 pages, v2 references added, v3 a proof modified

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Complex Variables, 32Q45; 32A25; 52A20

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http://salesiana.dossiersoluciones.com/handle/123456789/139686

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0704.0751
 http://arxiv.org/abs/0704.0751

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arXiv