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On the hyperelliptic sigma functions

โœ Scribed by H. F. Baker


Publisher
Springer
Year
1898
Tongue
English
Weight
418 KB
Volume
50
Category
Article
ISSN
0025-5831

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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