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Article Dans Une Revue Contemporary Mathematics Année : 2008

On complex automorphisms and holomorphic equivalence of domains

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Résumé

We give in the two first chapters some fundamental properties of the automorphism group of bounded domains and Kobayashi hyperbolic complex manifolds. We emphasize the role of the Poincaré, Carathéodory and Kobayashi metrics. The subject of the third chapter is plurisubharmonicity and pseudoconvexity. It is used to extend in the last chapter some previous results to non hyperbolic domains and proper holomorphic maps.

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Dates et versions

hal-03040200 , version 1 (04-12-2020)

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  • HAL Id : hal-03040200 , version 1
  • OKINA : ua148

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Jean-Jacques Loeb. On complex automorphisms and holomorphic equivalence of domains. Contemporary Mathematics, 2008, 468, pp.125 - 156. ⟨hal-03040200⟩
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