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

{"title":"论环状曲面上对称束的不稳定性","authors":"Lucie Devey, Milena Hering, Katharina Jochemko, Hendrik Süß","doi":"arxiv-2409.04666","DOIUrl":null,"url":null,"abstract":"We show that for every toric surface apart from the projective plane and a\nproduct of two projective lines and every ample line bundle there exists a\npolarisation such that the syzygy bundle associated to sufficiently high powers\nof the line bundle is not slope stable.","PeriodicalId":501063,"journal":{"name":"arXiv - MATH - Algebraic Geometry","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2024-09-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On the instability of syzygy bundles on toric surfaces\",\"authors\":\"Lucie Devey, Milena Hering, Katharina Jochemko, Hendrik Süß\",\"doi\":\"arxiv-2409.04666\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We show that for every toric surface apart from the projective plane and a\\nproduct of two projective lines and every ample line bundle there exists a\\npolarisation such that the syzygy bundle associated to sufficiently high powers\\nof the line bundle is not slope stable.\",\"PeriodicalId\":501063,\"journal\":{\"name\":\"arXiv - MATH - Algebraic Geometry\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-09-07\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - MATH - Algebraic Geometry\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2409.04666\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Algebraic Geometry","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.04666","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

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。

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

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.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

arXiv - MATH - Algebraic Geometry

自引率

0.00%

发文量

期刊最新文献

A converse of Ax-Grothendieck theorem for étale endomorphisms of normal schemes MMP for Enriques pairs and singular Enriques varieties Moduli of Cubic fourfolds and reducible OADP surfaces Infinitesimal commutative unipotent group schemes with one-dimensional Lie algebra The second syzygy schemes of curves of large degree