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arXiv:2210.17521 [math.DS]AbstractReferencesReviewsResources

Rational maps with rational multipliers

Valentin Huguin

Published 2022-10-31Version 1

In this article, we show that every rational map whose multipliers all lie in a given number field is a power map, a Chebyshev map or a Latt\`{e}s map. This strengthens a conjecture by Milnor concerning rational maps with integer multipliers, which was recently proved by Ji and Xie.

Comments: 8 pages
Categories: math.DS
Subjects: 37P35, 37F10, 37P05
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