A note on families of hyperelliptic curves
β Scribed by Sergey Gorchinskiy; Filippo Viviani
- Publisher
- Springer
- Year
- 2009
- Tongue
- English
- Weight
- 167 KB
- Volume
- 92
- Category
- Article
- ISSN
- 0003-889X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
An algorithm for constructing a basis of a linear system L(D) on a hyperelliptic curve is described. Algorithms by Cantor and Chebychev for computing in the Jacobian of a hyperelliptic curve are derived as special cases. The final section describes Chebychev's application of his algorithm to element
Let \(J\) be the Jacobian of the hyperelliptic curve \(Y^{2}=f\left(X^{2}\right)\) over a field \(K\) of characteristic 0 , where \(f\) has odd degree. We shall present an embedding of the group \(J(K) / 2 J(K)\) into the group \(L^{* / L^{* 2}}\) where \(L=K[T] / f(T)\). Since this embedding is der