Numerical reconstruction of curves from their Jacobians
Date
2021-08-21Source Title
Contemporary Mathematics
Print ISSN
0271-4132
Electronic ISSN
1098-3627
Publisher
American Mathematical Society
Volume
779
Pages
1 - 11
Language
English
Type
Conference PaperItem Usage Stats
19
views
views
3
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downloads
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.