A dynamical Shafarevich theorem for twists of rational morphisms

• Autorzy: Brian Justin Stout
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 37P15: Global ground fields
• 37P45: Families and moduli spaces
• 14G25: Global ground fields

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 2014
• Tom: 166
• Numer: 1
• Strony: 69-80

Daty

wydano

2014

Twórcy

autor

Brian Justin Stout

• Department of Mathemaics, U.S. Naval Academy, Chauvenet Hall, Annapolis, MD, 21401-1363, U.S.A.

Identyfikatory

DOI

10.4064/aa166-1-6