Effective reconstruction of generic genus 5 curves from their theta hyperplanes
arXiv:1908.02355 · doi:10.1080/10586458.2022.2041133
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.
25 pages + accompanying cpp computer program in the ancillary files