Algebra & Number Theory
- Algebra Number Theory
- Volume 12, Number 7 (2018), 1749-1771.
A dynamical variant of the Pink–Zilber conjecture
Let be polynomials of degree such that no is conjugate to or to , where is the Chebyshev polynomial of degree . We let be their coordinatewise action on , i.e., is given by . We prove a dynamical version of the Pink–Zilber conjecture for subvarieties of with respect to the dynamical system , if .
Algebra Number Theory, Volume 12, Number 7 (2018), 1749-1771.
Received: 1 November 2017
Revised: 6 April 2018
Accepted: 6 June 2018
First available in Project Euclid: 9 November 2018
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 11G50: Heights [See also 14G40, 37P30]
Secondary: 11G35: Varieties over global fields [See also 14G25] 14G25: Global ground fields
Ghioca, Dragos; Nguyen, Khoa Dang. A dynamical variant of the Pink–Zilber conjecture. Algebra Number Theory 12 (2018), no. 7, 1749--1771. doi:10.2140/ant.2018.12.1749. https://projecteuclid.org/euclid.ant/1541732440