Quadratic rational maps with integer multipliers
نویسندگان
چکیده
Abstract In this article, we prove that every quadratic rational map whose multipliers all lie in the ring of integers a given imaginary field is power map, Chebyshev or Lattès map. particular, provides some evidence support conjecture by Milnor concerning maps have an integer multiplier at each cycle.
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ژورنال
عنوان ژورنال: Mathematische Zeitschrift
سال: 2022
ISSN: ['1432-1823', '0025-5874']
DOI: https://doi.org/10.1007/s00209-022-03076-7