For an algebraic curve CรK defined by y 2 =x p +a (a ร K p ) with relative genus ( p&1)ร2 and absolute genus 0, we prove that the Picard group of divisors of degree 0, denoted Pic 0 K (C), of a curve CรK fixed by the action of the Galois group G= gal(K sep รK) has a finite number of K-rational point
Rational Points on Certain Families of Curves of Genus at Least 2
โ Scribed by Silverman, J. H.
- Book ID
- 120101683
- Publisher
- Oxford University Press
- Year
- 1987
- Tongue
- English
- Weight
- 334 KB
- Volume
- s3-55
- Category
- Article
- ISSN
- 0024-6115
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