Numerical reconstruction of curves from their Jacobians
Date
2021-08-21
Authors
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Source Title
Contemporary Mathematics
Print ISSN
0271-4132
Electronic ISSN
1098-3627
Publisher
American Mathematical Society
Volume
779
Issue
Pages
1 - 11
Language
English
Type
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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.