Beitr\ EMIS ELibM Electronic Journals Beiträge zur Algebra und Geometrie
Contributions to Algebra and Geometry
Vol. 46, No. 1, pp. 125-130 (2005)

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About the group law for the Jacobi variety of a hyperelliptic curve

Frank Leitenberger

Fachbereich Mathematik, Universität Rostock, Rostock, D-18051, Germany, e-mail: frank.leitenberger@mathematik.uni-rostock.de

Abstract: We generalize the group law of curves of degree three by chords and tangents to the Jacobi variety of a hyperelliptic curve. In the case of genus 2 we accomplish the construction by a cubic parabola. We derive explicit rational formulas for the addition on a dense set in the Jacobian.

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Electronic version published on: 11 Mar 2005. This page was last modified: 4 May 2006.

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