We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Attaining Potentially Good Reduction in Arithmetic Dynamics.
- Authors
Benedetto, Robert L.
- Abstract
Let K be a nonarchimedean field, and let φ ∜ K(z) be a rational function of degree d≥ 2. If φ has potentially good reduction, we give an upper bound, depending only on d, for the minimal degree of an extension L/K such that φ is conjugate over L to a map of good reduction. In particular, if d=2 or d is less than the residue characteristic of K, the bound is d+ 1. If K is discretely valued, we give examples to show that our bound is sharp.
- Subjects
REAL numbers; ARITHMETIC coding; VARIABLE-length codes; ANALYTICAL mechanics; NUMBER systems
- Publication
IMRN: International Mathematics Research Notices, 2015, Vol 2015, Issue 22, p11828
- ISSN
1073-7928
- Publication type
Article
- DOI
10.1093/imrn/rnv039