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Numerical reconstruction of curves from their Jacobians
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math.AGmath-phmath.MPmath.NT
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numericalcurvesmethodsproblemalgebraicapproachbuildscomputational
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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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