A dynamical Shafarevich theorem for twists of rational morphisms
Acta Arithmetica (2014)
- Volume: 166, Issue: 1, page 69-80
- ISSN: 0065-1036
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topBrian Justin Stout. "A dynamical Shafarevich theorem for twists of rational morphisms." Acta Arithmetica 166.1 (2014): 69-80. <http://eudml.org/doc/279686>.
@article{BrianJustinStout2014,
abstract = {Let K denote a number field, S a finite set of places of K, and ϕ: ℙⁿ → ℙⁿ a rational morphism defined over K. The main result of this paper states that there are only finitely many twists of ϕ defined over K which have good reduction at all places outside S. This answers a question of Silverman in the affirmative.},
author = {Brian Justin Stout},
journal = {Acta Arithmetica},
keywords = {arithmetic dynamics; twists of rational morphisms; good reduction},
language = {eng},
number = {1},
pages = {69-80},
title = {A dynamical Shafarevich theorem for twists of rational morphisms},
url = {http://eudml.org/doc/279686},
volume = {166},
year = {2014},
}
TY - JOUR
AU - Brian Justin Stout
TI - A dynamical Shafarevich theorem for twists of rational morphisms
JO - Acta Arithmetica
PY - 2014
VL - 166
IS - 1
SP - 69
EP - 80
AB - Let K denote a number field, S a finite set of places of K, and ϕ: ℙⁿ → ℙⁿ a rational morphism defined over K. The main result of this paper states that there are only finitely many twists of ϕ defined over K which have good reduction at all places outside S. This answers a question of Silverman in the affirmative.
LA - eng
KW - arithmetic dynamics; twists of rational morphisms; good reduction
UR - http://eudml.org/doc/279686
ER -
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