Dynamical uniform boundedness and the \(abc\)-conjecture

DOI10.1007/s00222-020-01029-7zbMath1468.14059arXiv1901.04385OpenAlexW3132549983WikidataQ122904168 ScholiaQ122904168MaRDI QIDQ2041855

Nicole R. Looper

Publication date: 26 July 2021

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.04385

zbMATH Keywords

polynomial maps\(ABC\) conjectureconjecture of Morton-Silvermanpre=periodic points

Mathematics Subject Classification ID

Arithmetic ground fields for curves (14H25) Polynomials in number theory (11C08) Rational and birational maps (14E05) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Polynomials (irreducibility, etc.) (11R09) Higher degree equations; Fermat's equation (11D41)

Related Items (3)

Survey lecture on arithmetic dynamics ⋮ New families satisfying the dynamical uniform boundedness principle over function fields ⋮ Rational periodic points of xd + c and Fermat–Catalan equations

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