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arXiv · 1908.02355

Effective reconstruction of generic genus 5 curves from their theta hyperplanes

David Lehavi
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Abstract

We effectively reconstruct the set of enveloping quadrics of a generic curve C of genus 5 from its theta hyperplanes; for a generic genus 5 curve C this data suffices to effectively reconstruct C. As a consequence we get a complete description of the Schottky locus in genus 5 in terms of theta hyperplanes. The computational part of the proof is a certified numerical argument.

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David Lehavi. 2019-08-06. Effective reconstruction of generic genus 5 curves from their theta hyperplanes. https://doi.org/10.1080/10586458.2022.2041133

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