Gonality of dynatomic curves and strong uniform boundedness of preperiodic points

DOI10.1112/S0010437X20007022zbMath1445.37080arXiv1711.04233OpenAlexW3099578443MaRDI QIDQ5216696

Bjorn Poonen, John R. Doyle

Publication date: 18 February 2020

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.04233

zbMATH Keywords

gonalitydynatomic curvepreperiodic point

Mathematics Subject Classification ID

[https://portal.mardi4nfdi.de/w/index.php?title=+Special%3ASearch&search=%22Curves+of+arbitrary+genus+or+genus+%28%0D%0Ae+1%29+over+global+fields%22&go=Go Curves of arbitrary genus or genus ( e 1) over global fields (11G30)] Special divisors on curves (gonality, Brill-Noether theory) (14H51) Arithmetic and non-Archimedean dynamical systems involving polynomial and rational maps (37P05) Arithmetic properties of periodic points (37P35) Dynamical systems over global ground fields (37P15)

Related Items (9)

Moduli spaces for dynamical systems with portraits ⋮ Survey lecture on arithmetic dynamics ⋮ New families satisfying the dynamical uniform boundedness principle over function fields ⋮ Preperiodic points for quadratic polynomials over cyclotomic quadratic fields ⋮ Dynamical uniform boundedness and the \(abc\)-conjecture ⋮ Reduction of dynatomic curves ⋮ Current trends and open problems in arithmetic dynamics ⋮ Rational periodic points of xd + c and Fermat–Catalan equations ⋮ Dynatomic polynomials, necklace operators, and universal relations for dynamical units

Cites Work

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