Formulas for the arithmetic geometric mean of curves of genus 3
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.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 March 2004
 arXiv:
 arXiv:math/0403182
 Bibcode:
 2004math......3182L
 Keywords:

 Mathematics  Algebraic Geometry;
 14H40;
 14H45;
 14Q05
 EPrint:
 26 pages, amslatex, xypic +2 eps figures