Triviality of fibers for Misiurewicz parameters in the exponential family

Benini, Anna

doi:10.1090/S1088-4173-2011-00227-X

Triviality of fibers for Misiurewicz parameters in the exponential family
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by Anna Miriam Benini

Conform. Geom. Dyn. 15 (2011), 133-151

DOI: https://doi.org/10.1090/S1088-4173-2011-00227-X

Published electronically: September 20, 2011

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Abstract:

We consider the family of holomorphic maps $e^z+c$ and show that fibers of postsingularly finite parameters are trivial. This can be considered as the first and simplest class of non-escaping parameters for which we can obtain results about triviality of fibers in the exponential family.

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