论文标题
过度融合的希尔伯特模块化形式的差分运算符家族
Families of Differential Operators for Overconvergent Hilbert Modular Forms
论文作者
论文摘要
我们通过在普通基因座的严格社区上插值高斯（Manin）的连接来为过度融合的希尔伯特模块化形式的家庭构建差异操作员。这与Harron和Xiao以及Andreatta和Iovita在模块化形式的情况下以及Zheng Liu所做的工作有关。它具有$ p $ -adic $ l $ $ $ $ - CM字段的应用程序。
We construct differential operators for families of overconvergent Hilbert modular forms by interpolating the Gauss--Manin connection on strict neighborhoods of the ordinary locus. This is related to work done by Harron and Xiao and by Andreatta and Iovita in the case of modular forms and by Zheng Liu for Siegel modular forms. It has applications in particular to $p$-adic $L$-functions of CM fields.
