二维伽罗瓦表示模栈的局部几何
数论
2022-08-01 v1
摘要
我们构造p进局部域绝对伽罗瓦群的二维模p表示模栈，以及它们通过带温和下降数据的二维Breuil-Kisin模模栈给出的消解。我们通过将这些模栈与Shimura簇在超特殊与岩堀水平上的局部模型比较，研究这些模栈的局部几何。
引用
@article{arxiv.2207.14337,
title = {Local geometry of moduli stacks of two-dimensional Galois representations},
author = {Ana Caraiani and Matthew Emerton and Toby Gee and David Savitt},
journal= {arXiv preprint arXiv:2207.14337},
year = {2022}
}
备注
To appear, Proceedings of the International Colloquium on 'Arithmetic Geometry', TIFR Mumbai, Jan. 6-10, 2020. Comprises portions of the unpublished arXiv:1908.07019. 55 pages