大等级曲线的第二协同方案

arXiv - MATH - Algebraic Geometry Pub Date : 2024-09-18 DOI:arxiv-2409.11855

Marian Aprodu, Andrea Bruno, Edoardo Sernesi

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引用次数: 0

摘要

本文是前人研究典型曲线第二共轭方案的自然延续。我们找到了充分的条件，确保阶数至少为 2g+2$ 的属--$g$ 曲线的第二对称方案与曲线重合。如果满足了性质 $(N_2)$，那么相等就可以通过一个更普遍的事实来保证。如果$(N_2)$不满足，那么分析将使用已知的典型曲线的情况。

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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The second syzygy schemes of curves of large degree

The present paper is a natural continuation of a previous work where we studied the second syzygy scheme of canonical curves. We find sufficient conditions ensuring that the second syzygy scheme of a genus--$g$ curve of degree at least $2g+2$ coincide with the curve. If the property $(N_2)$ is satisfied, the equality is ensured by a more general fact. If $(N_2)$ fails, then the analysis uses the known case of canonical curves.

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arXiv - MATH - Algebraic Geometry

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