A Type of Hyperelliptic Continued Fraction

• Autores: T.G. Berry
• Localización: Monatshefte für mathematik, ISSN 0026-9255, Vol. 145, Nº 4, 2005, págs. 269-283
• Idioma: inglés
• DOI: 10.1007/s00605-005-0301-8
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• Resumen

  • 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.