Periodic continued fractions and hyperelliptic curves
arXiv:math/0701932 · doi:10.1112/jlms/jdm125
Abstract
We consider a special class of periodic continued fractions (called alpha-fractions) 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.
14 pages