On the Jacobian of the Klein Curve
β Scribed by Despina T. Prapavessi
- Book ID
- 121526036
- Publisher
- American Mathematical Society
- Year
- 1994
- Tongue
- English
- Weight
- 192 KB
- Volume
- 122
- Category
- Article
- ISSN
- 0002-9939
- DOI
- 10.2307/2161162
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π SIMILAR VOLUMES
Consider a curve of genus one over a field K in one of three explicit forms: a double cover of P 1 , a plane cubic, or a space quartic. For each form, a certain syzygy from classical invariant theory gives the curve's jacobian in Weierstrass form and the covering map to its jacobian induced by the K
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