P^1上秩二非正则联络的Langlands对应实例
代数几何
2012-05-03 v3
摘要
考虑了P^1上带有（可能非正则）联络的秩2向量丛的特殊类型。我们在这些丛的模叠上的拟凝聚层的导出范畴与某个非分离曲线上的TDO环的模的导出范畴之间构造了一个等价。我们将该曲线等同于P^1上某些抛物丛的粗模空间。于是，我们的等价成为范畴Langlands对应的一个实例。
引用
@article{arxiv.1003.6112,
title = {An example of the Langlands correspondence for irregular rank two connections on P^1},
author = {Dmitry Arinkin and Roman Fedorov},
journal= {arXiv preprint arXiv:1003.6112},
year = {2012}
}
备注
Section 5 was shortened by referring to results of Hernandez Ruiperez et al. The reader might want to look at the previous (2nd) version for a more self-contained exposition. Other minor changes