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arxiv: 2401.02235 · v4 · pith:FUVUE7YA · submitted 2024-01-04 · math.AG

Reconstruction of curves from their theta hyperplanes in genera 6 and 7

T\"urk\"u \"Ozl\"um \c{C}elik , David Lehavi This is my paper

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classification math.AG
keywords generagenerichyperplanesthetaargumentcanonicalcertifiedcomplete
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We derive a formula for reconstructing a generic complex canonical curve $C$ of genus 6 and 7 in terms of the theta hyperplanes of $C$. Hence, we get a generic inverse to the Torelli map, as well as a complete description of the Schottky locus in these genera. The computational part of the proof relies on a certified numerical argument.

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