Jacobian Nullwerte, Periods and Symmetric Equations for Hyperelliptic Curves

Details Jacobian Nullwerte, Periods and Symmetric Equations for Hyperelliptic Curves Jacobian Nullwerte, Periods and Symmetric Equations for Hyperelliptic Curves

2006-10-10

arxiv.org/abs/math/0610315v1

Mathematics

Number Theory

To appear in "Annales de l'Institut Fourier"

Scientific paper

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.

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