Integer Points on Curves of Genus 1
โ Scribed by Silverman, J. H.
- Book ID
- 120095304
- Publisher
- Oxford University Press
- Year
- 1983
- Tongue
- English
- Weight
- 120 KB
- Volume
- s2-28
- Category
- Article
- ISSN
- 0024-6107
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๐ SIMILAR VOLUMES
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
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