A Type of Hyperelliptic Continued Fraction |
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Authors: | T G Berry |
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Institution: | (1) Universidad Simón Bolívar, Caracas, Venezuela |
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Abstract: | Based on hints of Tschebychev, a continued fraction is described which gives an effective algorithm for calculating the torsion, if finite, of divisors D − D− on a hyperelliptic curve of genus ≥2, where D is an effective divisor of degree 2 and D− denotes the image of D under the hyperelliptic involution. The difficulties involved in extending the algorithm to divisors of degree ≥3 are briefly discussed. |
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Keywords: | 2000 Mathematics Subject Classifications: 14Q05 11Y55 |
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