Some Computational Aspects of Jacobians of Curves in the Family y3 = gamma x5 + delta Over Fp
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Abstract
In this paper, we study the Jacobian varieties of certain diagonal curves of genus four : we first give the structure of the Jacobian, showing that it is simple over the prime field in most cases, then we give a reduction algorithm, suitable for calculations in the group of its rational points.
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Keywords
Diagonal curve, Jacobi sum, Jacobian Variety, Reduction Algorithm
Dewey Decimal Classification
510 Mathematik
Citation
Blache, Régis, Cherdieu, Jean-Pierre, Sarlabous, Jorge Estrada.(2004). Some Computational Aspects of Jacobians of Curves in the Family y3 = gamma x5 + delta Over Fp. Preprints aus dem Institut für Mathematik. , 2004,2. 10.18452/2575