关于极大绿序列的综述
表示论
2020-12-03 v7 代数几何
组合数学
摘要
极大绿序列出现在Fomin-Zelevinsky簇代数的研究中。它们可用于计算精细Donaldson-Thomas不变量、构造扭转自同构以及证明theta基与泛基的存在性。我们综述其存在性与性质的最新进展，并给出Greg Muller定理的表示论证明，该定理断言全子箭图继承极大绿序列。在附录中，Laurent Demonet用砖块描述了挠类极大链，推广了Igusa的一个定理。
引用
@article{arxiv.1904.09247,
title = {A survey on maximal green sequences},
author = {Laurent Demonet and Bernhard Keller},
journal= {arXiv preprint arXiv:1904.09247},
year = {2020}
}
备注
15 pages, submitted to the proceedings of the ICRA 18, Prague, comments welcome; v2: misquotation in section 6 corrected; v3: minor changes, final version; v4: reference to Jiarui Fei's work added, post-final version; v4: formulation of Remark 4.3 corrected; v5: misquotation of Hermes-Igusa's 2019 paper corrected; v5: reference to Kim-Yamazaki's paper added