Height Uniformity for Algebraic Points on Curves
โ Scribed by Su-Ion Ih
- Book ID
- 110393838
- Publisher
- Cambridge University Press
- Year
- 2002
- Tongue
- English
- Weight
- 208 KB
- Volume
- 134
- Category
- Article
- ISSN
- 0010-437X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Let K be an algebraic function field in one variable over an algebraically closed field of positive characteristic p. We give an explicit upper bound for the number of rational points of genus-changing curves over K defined by y p =r(x) and show that every genus-changing curve of absolute genus 0 ha
Tate proved a theorem on rational points of torsors ("Torsors" means "Homogeneous spaces," in sequel we use "torsors" in this meaning) of \(T / K\), where \(K\) is a local field, \(T\) is a Tate curve. In this paper we extend the above theorem to the case where \(T\) is a twist of a Tate curve, and