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Poincaré’s theorem that the ball and polydisc are biholomorphically inequivalent shows that there is no Riemann mapping theorem (at least in the traditional sense) in several complex variables.

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Smoothness to the Boundary of Biholomorphic Mappings

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  • 发表日期：

    2025年

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  • Peter V. Dovbush,
  • Steven G. Krantz

摘要

Poincaré’s theorem that the ball and polydisc are biholomorphically inequivalent shows that there is no Riemann mapping theorem (at least in the traditional sense) in several complex variables.