Some Interesting Curves of genus 2 to 7
β Scribed by Andrew Bremner
- Book ID
- 102602536
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 320 KB
- Volume
- 67
- Category
- Article
- ISSN
- 0022-314X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Let p denote a prime, and K a field of characteristic prime to p and containing the pth roots of unity. For p equal to 3 and 5, the author finds a scheme T p and a family of genus one curves over T p such that any genus one curve defined over the field K of index p whose Jacobian elliptic curve E ha
For an algebraic curve CΓK defined by y 2 =x p +a (a Γ K p ) with relative genus ( p&1)Γ2 and absolute genus 0, we prove that the Picard group of divisors of degree 0, denoted Pic 0 K (C), of a curve CΓK fixed by the action of the Galois group G= gal(K sep ΓK) has a finite number of K-rational point