Periodic continued fractions and hyperelliptic curves
Abstract
We consider a special class of periodic continued fractions (called alphafractions) and discuss the related algebraic and geometric problems. A classical description of the Jacobi variety of a hyperelliptic curve due to Jacobi naturally appears in this context.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 January 2007
 DOI:
 10.48550/arXiv.math/0701932
 arXiv:
 arXiv:math/0701932
 Bibcode:
 2007math......1932G
 Keywords:

 Mathematics  General Mathematics;
 Mathematics  Algebraic Geometry;
 30B70;
 14H40
 EPrint:
 14 pages