广义5属曲线的θ超平面有效重构

Pub Date : 2022-03-10 DOI:10.1080/10586458.2022.2041133

David Lehavi

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引用次数: 0

摘要

摘要利用超平面有效地重构了5属曲线C的包络二次集;对于一般的5属曲线C，这些数据足以有效地重建C。因此，我们得到了5属曲线上的肖特基轨迹在超平面上的完整描述。证明的计算部分是一个证明的数值论证。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Effective Reconstruction of Generic Genus 5 Curves from their Theta Hyperplanes

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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