Periodic continued fractions and hyperelliptic curves
classification
🧮 math.GM
math.AG
keywords
continuedfractionshyperellipticjacobiperiodicalgebraicalpha-fractionsappears
read the original 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.
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