Gonality of dynatomic curves and strong uniform boundedness of preperiodic points
© The Authors 2020. Fix d ≥ 2 and a field k such that char k - d. Assume that k contains the dth roots of 1. Then the irreducible components of the curves over k parameterizing preperiodic points of polynomials of the form zd+c are geometrically irreducible and have gonality tending to 1. This impli...
Main Authors: | Doyle, John R, Poonen, Bjorn |
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Other Authors: | Massachusetts Institute of Technology. Department of Mathematics |
Format: | Article |
Language: | English |
Published: |
Wiley
2021
|
Online Access: | https://hdl.handle.net/1721.1/136298 |
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