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Division polynomials and multiplication formulae of Jacobian varieties of dimension 2
Published online by Cambridge University Press: 21 October 2005
Abstract
D. Grant gave a set of defining equations and the addition formulae on the Jacobian varieties of hyperelliptic curves of the form $y^2=x^{5}+\cdots$, using the $\sigma$-function and hyperelliptic functions. In this paper, using these functions, we give the n-multiplication formulae on the Jacobian varieties of hyperelliptic curves of the form $y^2=x^{5}+\cdots$.
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- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 139 , Issue 3 , November 2005 , pp. 399 - 409
- Copyright
- 2005 Cambridge Philosophical Society
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