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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Computing the Mordell-Weil rank of Jacobians of curves of genus two


Authors: Daniel M. Gordon and David Grant
Journal: Trans. Amer. Math. Soc. 337 (1993), 807-824
MSC: Primary 11G10; Secondary 11G30, 14H25, 14K15
MathSciNet review: 1094558
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Abstract: We derive the equations necessary to perform a two-descent on the Jacobians of curves of genus two with rational Weierstrass points. We compute the Mordell-Weil rank of the Jacobian of some genus two curves defined over the rationals, and discuss the practicality of using this method.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1993-1094558-0
PII: S 0002-9947(1993)1094558-0
Article copyright: © Copyright 1993 American Mathematical Society