Rational classes and divisors on curves of genus 2
✍ Scribed by V. G. Lopez Neumann; Constantin Manoil
- Publisher
- Springer
- Year
- 2006
- Tongue
- English
- Weight
- 142 KB
- Volume
- 120
- Category
- Article
- ISSN
- 0025-2611
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📜 SIMILAR VOLUMES
For an algebraic curve CÂK defined by y 2 =x p +a (a  K p ) with relative genus ( p&1)Â2 and absolute genus 0, we prove that the Picard group of divisors of degree 0, denoted Pic 0 K (C), of a curve CÂK fixed by the action of the Galois group G= gal(K sep ÂK) has a finite number of K-rational point
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