Dynamical uniform boundedness and the abc-conjecture

Dynamical uniform boundedness and the abc-conjecture

We address the Uniform Boundedness Conjecture of Morton and Silverman in the case of unicritical polynomials, assuming a generalization of the abc -conjecture. For unicritical polynomials of degree at least five, we require only the standard abc -conjecture.

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Veröffentlicht in:Inventiones mathematicae 2021-07, Vol.225 (1), p.1-44
1. Verfasser: Looper, Nicole R.
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Mathematics and Statistics
Polynomials
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Zusammenfassung:We address the Uniform Boundedness Conjecture of Morton and Silverman in the case of unicritical polynomials, assuming a generalization of the abc -conjecture. For unicritical polynomials of degree at least five, we require only the standard abc -conjecture.
ISSN:0020-9910
1432-1297
DOI:10.1007/s00222-020-01029-7