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On the torsion of the Jacobians of superelliptic curves yq=xp+a

✍ Scribed by Jędrzejak, Tomasz

Book ID: 125857338
Publisher: Elsevier Science
Year: 2014
Tongue: English
Weight: 466 KB
Volume: 145
Category: Article
ISSN: 0022-314X
DOI: 10.1016/j.jnt.2014.06.013

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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