English

Jacobian Nullwerte, Periods and Symmetric Equations for Hyperelliptic Curves

Number Theory 2007-05-23 v1 Algebraic Geometry

Abstract

We propose a solution to the hyperelliptic Schottky problem, based on the use of Jacobian Nullwerte and symmetric models for hyperelliptic curves. Both ingredients are interesting on its own, since the first provide period matrices which can be geometrically described, and the second have remarkable arithmetic properties.

Keywords

Cite

@article{arxiv.math/0610315,
  title  = {Jacobian Nullwerte, Periods and Symmetric Equations for Hyperelliptic Curves},
  author = {J. Guàrdia},
  journal= {arXiv preprint arXiv:math/0610315},
  year   = {2007}
}

Comments

To appear in "Annales de l'Institut Fourier"