Mathematics of Computation · 1987 · 392 citations · 8 references
ComputingComputer ScienceMathematicsAlgorithmsComputational GeometryTheory Of ComputationJacobian MatricesNumerical AlgorithmsHyperelliptic Curve EquationsJacobian Approximation
In this paper we present algorithms, suitable for computer use, for computation in the Jacobian of a hyperelliptic curve. We present a reduction algorithm which is asymptotically faster than that of Gauss when the genus <italic>g</italic> is very large.
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Introduction to Algebraic Geometry.
Alice T. Schafer, Serge Lang · American Mathematical Monthly · 1960 · 522 citations