Periods of orbits modulo primes |
| |
Authors: | Amir Akbary |
| |
Institution: | Department of Mathematics and Computer Science, University of Lethbridge, Lethbridge, AB T1K 3M4, Canada |
| |
Abstract: | Let S be a monoid of endomorphisms of a quasiprojective variety V defined over a global field K. We prove a lower bound for the size of the reduction modulo places of K of the orbit of any point α∈V(K) under the action of the endomorphisms from S. We also prove a similar result in the context of Drinfeld modules. Our results may be considered as dynamical variants of Artin's primitive root conjecture. |
| |
Keywords: | primary 11G35 11G50 secondary 14G40 37F10 |
本文献已被 ScienceDirect 等数据库收录! |