## Equations for the Jacobian of a hyperelliptic curve

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- by Paul van Wamelen PDF
- Trans. Amer. Math. Soc.
**350**(1998), 3083-3106 Request permission

## 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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## Additional 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