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arXiv · 2103.03138

Numerical reconstruction of curves from their Jacobians

Daniele Agostini·Türkü Özlüm Çelik·Demir Eken
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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.

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Daniele Agostini, Türkü Özlüm Çelik, Demir Eken. 2021-03-04. Numerical reconstruction of curves from their Jacobians. https://arxiv.org/abs/2103.03138

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