Linear systems on hyperelliptic curves
Abstract
An algorithm for constructing a basis of a linear
system \cal L(D) on a hyperelliptic curve is described.
Algorithms of Cantor and Chebychev for manipulating in the Jacobian
of a hyperelliptic curve are derived as special cases. The final section
describes Chebychev's application of his algorithm to elementary
integration of elliptic differentials.
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