Numerical reconstruction of curves from their Jacobians
Algebraic Geometry
2021-03-05 v1 Mathematical Physics
math.MP
Number Theory
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.
Keywords
Cite
@article{arxiv.2103.03138,
title = {Numerical reconstruction of curves from their Jacobians},
author = {Daniele Agostini and Türkü Özlüm Çelik and Demir Eken},
journal= {arXiv preprint arXiv:2103.03138},
year = {2021}
}