识别丛半稳定轨迹的堆栈方法
代数几何
2025-03-18 v3
摘要
我们证明，半稳定轨迹是曲线上主丛模叠中唯一一个允许有概形模空间的最大开子叠。对于秩为 的向量丛，它与唯一一个允许有分离模空间的最大开子叠重合，但对于更高秩的情形，存在其他允许有分离模空间的开子叠。
引用
@article{arxiv.2302.09245,
title = {A stacky approach to identifying the semistable locus of bundles},
author = {Dario Weissmann and Xucheng Zhang},
journal= {arXiv preprint arXiv:2302.09245},
year = {2025}
}
备注
Theorem A now includes the case of semistable principal bundles and the characteristic can be arbitrary in Theorem B and C. To appear in Algebraic Geometry (AG)