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      Numerical reconstruction of curves from their Jacobians

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      Author(s)
      Agostini, D.
      Çelik, T. Ö.
      Eken, Demir
      Editor
      Anni, Samuele
      Karemaker, Valentijn
      García, Elisa Lorenzo
      Date
      2021-08-21
      Source Title
      Contemporary Mathematics
      Print ISSN
      0271-4132
      Electronic ISSN
      1098-3627
      Publisher
      American Mathematical Society
      Volume
      779
      Pages
      1 - 11
      Language
      English
      Type
      Conference Paper
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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.
      Permalink
      http://hdl.handle.net/11693/111246
      Published Version (Please cite this version)
      https://www.doi.org/10.1090/conm/779/15667
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