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Elliptic subcovers of hyperelliptic curves

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  • Ernst Kani

Abstract

The main result of this paper states that if C is a hyperelliptic curve of even genus over an arbitrary field K, then there is a natural bijection between the set of equivalence classes of elliptic subcovers of C/K and the set of elliptic subgroups of its Jacobian JC/K.

Suggested Citation

  • Ernst Kani, 2017. "Elliptic subcovers of hyperelliptic curves," Mathematische Nachrichten, Wiley Blackwell, vol. 290(17-18), pages 2890-2900, December.
    • Handle: RePEc:bla:mathna:v:290:y:2017:i:17-18:p:2890-2900
    DOI: 10.1002/mana.201600530
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