Numerical reconstruction of curves from their Jacobians

Date

2021-08-21

Editor(s)

Anni, Samuele
Karemaker, Valentijn
García, Elisa Lorenzo

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Abstract

We approach the Torelli problem of recostructing a curve from its Jacobian from a computational point of view. Following Dubrovin, we design a machinery to solve this problem effectively, which builds on methods in numerical algebraic geometry. We verify this methods via numerical experiments with curves up to genus 7.

Source Title

Contemporary Mathematics

Publisher

American Mathematical Society

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Published Version (Please cite this version)

Language

English