The moduli space of hyperbolic compact complex spaces

• Autores: Adel Khalfallah
• Localización: Mathematische zeitschrift, ISSN 0025-5874, Vol. 255, Nº. 4, 2007, págs. 691-702
• Idioma: inglés
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• Resumen

  • In this paper, we construct the moduli space of reduced hyperbolic compact complex spaces. First, we prove an infinitesimal characterization of hyperbolicity using a family of Kobayashi¿Royden pseudo-metrics introduced by Venturini and as a consequence we conclude that the property of Landau holds for complex spaces. Finally, we establish this moduli space in the case of locally trivial deformations, and in a more general situation, the case of equisingular deformations.