Periodic continued fractions and hyperelliptic curves

M-P. Grosset; A. P. Veselov

doi:10.1112/jlms/jdm125

Periodic continued fractions and hyperelliptic curves

General Mathematics 2014-02-26 v1 Algebraic Geometry

Authors: M-P. Grosset , A. P. Veselov

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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.

Keywords

continued fractions jacobi forms hyperelliptic curves

Cite

@article{arxiv.math/0701932,
  title  = {Periodic continued fractions and hyperelliptic curves},
  author = {M-P. Grosset and A. P. Veselov},
  journal= {arXiv preprint arXiv:math/0701932},
  year   = {2014}
}

Comments

14 pages

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