Attaining Potentially Good Reduction in Arithmetic Dynamics
نویسندگان
چکیده
منابع مشابه
Attaining Potentially Good Reduction in Arithmetic Dynamics
Let K be a non-archimedean 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,...
متن کاملA Criterion for Potentially Good Reduction in Non-archimedean Dynamics
Let K be a non-archimedean field, and let φ ∈ K(z) be a polynomial or rational function of degree at least 2. We present a necessary and sufficient condition, involving only the fixed points of φ and their preimages, that determines whether or not the dynamical system φ : P → P has potentially good
متن کاملPotentially Good Reduction of Barsotti-tate Groups
Let R be a complete discrete valuation ring of mixed characteristic (0, p) with perfect residue field, K the fraction field of R. Suppose G is a Barsotti-Tate group (p-divisible group) defined over K which acquires good reduction over a finite extension K′ of K. We prove that there exists a constant c ≥ 2 which depends on the absolute ramification index e(K′/Qp) and the height of G such that G ...
متن کاملSelf-similar fractals and arithmetic dynamics
The concept of self-similarity on subsets of algebraic varieties is defined by considering algebraic endomorphisms of the variety as `similarity' maps. Self-similar fractals are subsets of algebraic varieties which can be written as a finite and disjoint union of `similar' copies. Fractals provide a framework in which, one can unite some results and conjectures in Diophantine g...
متن کاملAssessing Low-attaining Pupils in Arithmetic Word Problem Solving
This paper describes a standing alone computer based assessing system called ASSA (Adaptive System for Student Assessment), able also to be a part of a larger intelligent tutoring system. It is designed to support the assessment of pupils of age 8-12 who show a very low performance in solving simple arithmetic word problems. The main aim of the system is to tackle the lowattaining student’s abi...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: International Mathematics Research Notices
سال: 2015
ISSN: 1073-7928,1687-0247
DOI: 10.1093/imrn/rnv039