Cover Image

Roots of unity and higher ramification in iterated extensions

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Hamblen, Spencer, Jones, Rafe
Format:	Preprint
Published:	2022
Subjects:	Number Theory 37P20, 11S15, 37P15, 37P05, 11R18
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

On the Arithmetic of Bicritical Rational Functions
by: Goksel, Vefa, et al.
Published: (2026)

2007: An Arboreal Odyssey: A View of Arboreal Galois Representations and Applications, from Early in the Subject's History
by: Jones, Rafe
Published: (2026)

The non-unit conjecture for Misiurewicz parameters
by: Benedetto, Robert L., et al.
Published: (2025)

Non-abelian arboreal Galois groups associated to PCF rational maps
by: Leung, Chifan, et al.
Published: (2024)

The proportion of $k$-cycles for polynomials modulo primes
by: Root, Jonathan
Published: (2024)

Iterates of post-critically finite polynomials of the form $\boldsymbol{x^d+c}$
by: Goksel, Vefa
Published: (2025)

Local fields, iterated extensions, and Julia Sets
by: Lee, Pui Hang, et al.
Published: (2025)

Uniform bounds on periodic points of polynomials with good reduction
by: Rajagopal, Isaac, et al.
Published: (2025)

Finite index theorems for iterated Galois groups of preperiodic points for unicritical polynomials
by: Han, Minsik, et al.
Published: (2025)

Irreducibility of polynomials defining parabolic parameters of period 3
by: Koizumi, Junnosuke, et al.
Published: (2024)

The field of iterates of a rational function
by: Veneziano, Francesco, et al.
Published: (2024)

Infinitely wildly ramified arboreal representations for postcritically finite polynomials with potential good reduction
by: Feiner, Alex
Published: (2023)

A Dynamical Analogue of the Criterion of Néron-Ogg-Shafarevich
by: Adams, Ophelia
Published: (2022)

A Dynamical Analogue of Sen's Theorem
by: Adams, Ophelia
Published: (2021)

Arboreal Galois Groups of a PCF Map with Strictly Pre-periodic Critical Points
by: Ejder, Özlem, et al.
Published: (2026)

Rational Preperiodic Points of Quadratic Rational Maps over $\mathbb{Q}$ with Nonabelian Automorphism Groups
by: Bilgili, Hasan, et al.
Published: (2026)

Ruelle's zeta function for non-Archimedean rational maps
by: Jiang, Yunping, et al.
Published: (2025)

The Uniform Boundedness and Dynamical Lang Conjectures for polynomials
by: Looper, Nicole R.
Published: (2021)

Periodic Points of Power Maps in Finite Matrix Groups and Algebras
by: Panja, Saikat
Published: (2026)

Dynamical Degrees, Arithmetic Degrees, and Canonical Heights: History, Conjectures, and Future Directions
by: Silverman, Joseph H.
Published: (2024)

Dynamique analytique sur $\mathbf{Z}$. II : Écart uniforme entre Lattès et conjecture de Bogomolov-Fu-Tschinkel
by: Poineau, Jérôme
Published: (2022)

Prime numbers and dynamics of the polynomial $x^2-1$
by: Penkov, Ivan, et al.
Published: (2025)

Some families of polynomials satisfying uniform boundedness for rational preperiodic points
by: Pasten, Hector
Published: (2024)

Critical Point Criteria and Dynamically Monogenic Polynomials
by: König, Joachim, et al.
Published: (2024)

SIC-POVMs and orders of real quadratic fields
by: Kopp, Gene S., et al.
Published: (2024)

A Dynamical Néron--Ogg--Shafarevich Criterion via Orbital Arboreal Representations
by: Pérez-Buendía, J. Rogelio
Published: (2025)

Growth of generalized greatest common divisors along orbits of self-rational maps on projective varieties
by: Matsuzawa, Yohsuke
Published: (2025)

Propagation of Zariski Dense Orbits
by: Pasten, Hector, et al.
Published: (2023)

Simultaneous Periods for Families of Rational Maps Modulo Primes
by: Mishra, Bhawesh
Published: (2026)

Dynamical Irreducibility of Certain Families of Polynomials over Finite Fields
by: Day, Tori, et al.
Published: (2024)

Iterates of Quadratics and Monogenicity
by: Smith, Hanson, et al.
Published: (2024)

Rigidity of Lyapunov exponents for polynomials
by: Ji, Zhuchao, et al.
Published: (2026)

Cyclotomic integral points for affine dynamics
by: Ji, Zhuchao, et al.
Published: (2025)

Gluing Dynamics: $\varepsilon$-Precision in Solving a Non-Archimedean Inverse Problem
by: Nopal-Coello, et al.
Published: (2023)

Totally real algebraic numbers in generalized Mandelbrot set
by: Hare, Kevin G., et al.
Published: (2024)

On a Slice of the Cubic 2-adic Mandelbrot Set
by: Anderson, Jacqueline, et al.
Published: (2024)

Periodic points of rational functions over finite fields
by: Garton, Derek
Published: (2022)

Preperiodic points of polynomial dynamical systems over finite fields
by: Andersen, Aaron, et al.
Published: (2024)

Fixed-point lifting and ghost periodic points for Chebyshev polynomials modulo odd prime powers
by: Panraksa, Chatchawan, et al.
Published: (2026)

Replacement dynamics of binary quadratic forms
by: Bhutani, Raghav, et al.
Published: (2025)