Formulas for the arithmetic geometric mean of curves of genus 3
Algebraic Geometry
2012-01-31 v2
Abstract
The arithmetic geometric mean algorithm for calculation of elliptic integrals of the first type was introduced by Gauss. The analog algorithm for Abelian integrals of genus 2 was introduced by Richelot (1837) and Humbert (1901). We present the analogous algorithm for Abelian integrals of genus 3.
Cite
@article{arxiv.math/0403182,
title = {Formulas for the arithmetic geometric mean of curves of genus 3},
author = {D. Lehavi and C. Ritzenthaler},
journal= {arXiv preprint arXiv:math/0403182},
year = {2012}
}
Comments
26 pages, amslatex, xypic +2 eps figures