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A Kobayashi and Bergman complete domain without bounded representations

Published 15 Mar 2020 in math.CV | (2003.06728v1)

Abstract: We construct an unbounded strictly pseudoconvex Kobayashi hyperbolic and complete domain in $\mathbb{C}2$, which also possesses complete Bergman metric, but has no nonconstant bounded holomorphic functions.

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