论环状曲面上对称束的不稳定性

arXiv - MATH - Algebraic Geometry Pub Date : 2024-09-07 DOI:arxiv-2409.04666

Lucie Devey, Milena Hering, Katharina Jochemko, Hendrik Süß

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引用次数: 0

摘要

我们证明，对于除了投影面和两条投影线的乘积之外的每一个环面以及每一个充裕线束，都存在极化现象，使得与线束的足够高的幂相关联的共轭束不是斜率稳定的。

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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On the instability of syzygy bundles on toric surfaces

We show that for every toric surface apart from the projective plane and a product of two projective lines and every ample line bundle there exists a polarisation such that the syzygy bundle associated to sufficiently high powers of the line bundle is not slope stable.

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arXiv - MATH - Algebraic Geometry

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