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arXiv · 2401.02235

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

Türkü Özlüm Çelik·David Lehavi
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Abstract

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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Türkü Özlüm Çelik, David Lehavi. 2024-01-04. Reconstruction of curves from their theta hyperplanes in genera $6$ and $7$. https://arxiv.org/abs/2401.02235

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