Bessel F-isocrystals for reductive groups
Bessel F-isocrystals for reductive groups
复制标题
DOI：
10.1007/s00222-021-01079-5
复制
发表时间：
2019-10
影响因子：
3.1
通讯作者：
Daxin Xu;Xinwen Zhu
中科院分区：
文献类型：
--
作者：
Daxin Xu;Xinwen Zhu
对于Frenkel-Gross引入的可裂约化群，构造了刚性联络上的Frobenius结构.这些数据形成了a-值超收敛F-等势线，它是Heinloth-Ngô-Yun构造的Kloosterman-局部系统的p-adic伴随.通过研究基本微分方程的结构，计算了几乎单时的单值群（恢复了Katz和Heinloth-Ngô-Yun对单值群的计算），并证明了Heinloth-Ngô-Yun关于不同Kloosterman-局部系统之间函性的一个猜想.我们证明了的Frobenius Newton多边形对每个都是一般平凡的，并且当是经典的或时处处平凡。
We construct the Frobenius structure on a rigid connectiononfor a split reductive groupintroduced by Frenkel–Gross. These data form a-valued overconvergentF-isocrystalon, which is thep-adic companion of the Kloosterman-local systemconstructed by Heinloth–Ngô–Yun. By studying the structure of the underlying differential equation, we calculate the monodromy group ofwhenis almost simple (which recovers the calculation of monodromy group ofdue to Katz and Heinloth–Ngô–Yun), and prove a conjecture of Heinloth–Ngô–Yun on the functoriality between different Kloosterman-local systems. We show that the Frobenius Newton polygons ofare generically ordinary for everyand are everywhere ordinary onwhenis classical or.