Equations for the Jacobian of a hyperelliptic curve
Author:
Paul van Wamelen
Journal:
Trans. Amer. Math. Soc. 350 (1998), 30833106
MSC (1991):
Primary 14H40; Secondary 14H42
MathSciNet review:
1432144
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Abstract: We give an explicit embedding of the Jacobian of a hyperelliptic curve, , into projective space such that the image is isomorphic to the Jacobian over the splitting field of . The embedding is a modification of the usual embedding by theta functions with half integer characteristics.
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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 708034918
Email:
wamelen@math.lsu.edu
DOI:
http://dx.doi.org/10.1090/S000299479802056X
PII:
S 00029947(98)02056X
Keywords:
Jacobian,
hyperelliptic curve,
theta function,
theta constant,
Thomae's identity
Received by editor(s):
December 5, 1995
Article copyright:
© Copyright 1998 American Mathematical Society
