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...

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Bibliographic Details
Main Authors: Doyle, John R, Poonen, Bjorn
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