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The integral monodromy of hyperelliptic and trielliptic curves

✍ Scribed by Jeffrey D. Achter; Rachel Pries

Publisher
Springer
Year
2006
Tongue
English
Weight
356 KB
Volume
338
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