Equations for the Jacobian of a hyperelliptic curve
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- by Paul van Wamelen
- Trans. Amer. Math. Soc. 350 (1998), 3083-3106
- DOI: https://doi.org/10.1090/S0002-9947-98-02056-X
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Abstract:
We give an explicit embedding of the Jacobian of a hyperelliptic curve, $y^2 = f(x)$, into projective space such that the image is isomorphic to the Jacobian over the splitting field of $f$. The embedding is a modification of the usual embedding by theta functions with half integer characteristics.References
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Bibliographic Information
- Paul van Wamelen
- Affiliation: Department of Mathematics, University of California, San Diego, San Diego, California 92093
- Address at time of publication: Department of Mathematics, Louisiana State University, Baton Rouge, Louisiana 70803-4918
- Email: wamelen@math.lsu.edu
- Received by editor(s): December 5, 1995
- © Copyright 1998 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 350 (1998), 3083-3106
- MSC (1991): Primary 14H40; Secondary 14H42
- DOI: https://doi.org/10.1090/S0002-9947-98-02056-X
- MathSciNet review: 1432144