Isotriviality, integral points, and primitive primes in orbits in characteristic \(p\)
DOI10.2140/ant.2023.17.1573OpenAlexW4386574335MaRDI QIDQ6183405
Wade Hindes, Alexander Carney, Thomas J. Tucker
Publication date: 4 January 2024
Published in: Algebra \& Number Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2140/ant.2023.17.1573
Galois theory (11R32) Heights (11G50) Exponential Diophantine equations (11D61) Global ground fields in algebraic geometry (14G25) Arithmetic and non-Archimedean dynamical systems involving polynomial and rational maps (37P05) Height functions; Green functions; invariant measures in arithmetic and non-Archimedean dynamical systems (37P30) Dynamical systems over global ground fields (37P15)
Cites Work
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- Integer points in backward orbits
- Integral points of projective spaces omitting hyperplanes over function fields of positive characteristic
- Integer points, diophantine approximation, and iteration of rational maps
- Finite ramification for preimage fields of post-critically finite morphisms
- Finite index theorems for iterated Galois groups of cubic polynomials
- The second main theorem for small functions and related problems
- Diophantine approximation in characteristic \(p\)
- Rational functions with a polynomial iterate
- Periods of rational maps modulo primes
- Rational values of transcendental functions and arithmetic dynamics
- \(ABC\) implies a Zsigmondy principle for ramification
- Arboreal Galois representations
- ABC implies primitive prime divisors in arithmetic dynamics
- Integral orbits over function fields
- Prime divisors in polynomial orbits over function fields
- Arboreal Representations for Rational Maps with Few Critical Points
- Algebraic Function Fields and Codes
- A finiteness theorem for canonical heights attached to rational maps over function fields
- The Galois Theory of Iterates and Composites of Polynomials
- Wreath Products and Proportions of Periodic Points
- Eventually stable rational functions
- Dynamics in One Non-Archimedean Variable
- Primitive divisors of the expression An - Bn in algebraic number fields.
- Cycles of polynomials in algebraically closed fields of positive characteristic
- Finite index theorems for iterated Galois groups of unicritical polynomials
- Riccati equations and polynomial dynamics over function fields
- PRIMITIVE DIVISORS OF THE EXPRESSIONan–bnIN ALGEBRAIC NUMBER FIELDS
- Théorie ergodique des fractions rationnelles sur un corps ultramétrique
- Constraining Images of Quadratic Arboreal Representations
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