Journal article
Towers of 2-covers of hyperelliptic curves
- Abstract:
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In this article, we give a way of constructing an unramified Galois cover of a hyperelliptic curve. The geometric Galois-group is an elementary abelian 2-group. The construction does not make use of the embedding of the curve in its Jacobian and it readily displays all subcovers. We show that the cover we construct is isomorphic to the pullback along the multiplication-by-2 map of an embedding of the curve in its Jacobian. We show that the constructed cover has an abundance of elliptic and hy...
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Bibliographic Details
- Publication date:
- 2005-01-01
Item Description
- UUID:
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uuid:50465a30-7f8d-499a-9425-9960e7f868bd
- Local pid:
- oai:eprints.maths.ox.ac.uk:250
- Deposit date:
- 2011-05-19
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- Copyright date:
- 2005
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