余维四 Gorenstein 理想自由分解上的旋量结构
交换代数
2021-08-10 v2
摘要
我们分析了余维四 Gorenstein 理想分解上的旋量坐标结构。作为一个应用,我们构造了一族具有七个生成元的此类理想,它们不是 Kustin-Miller 模型的专业化(specializations)。
引用
@article{arxiv.1912.07510,
title = {Spinor structures on free resolutions of codimension four Gorenstein ideals},
author = {Ela Celikbas and Jai Laxmi and Jerzy Weyman},
journal= {arXiv preprint arXiv:1912.07510},
year = {2021}
}
备注
26 pages, 1 figure, 2 tables Major changes: 1) Section 2: Background in Representation Theory (new section). 2) Revised section 3 (The background on free resolutions). 3) Revised Definition 4.1, modified the statement of Theorem 4.2, added a new Remark 4.3, and revised the proof of Theorem 4.2. 4) Examples in sections 5, 6, and 7 are also revised