论文标题
$ \ mathrm {gsp} _ {2G} $和RAMIFIENT LOCUS上的Cuspidal特征值配对
A pairing on the cuspidal eigenvariety for $\mathrm{GSp}_{2g}$ and the ramification locus
论文作者
论文摘要
在本文中，我们首先在与$ \ mathrm {gsp} _ {2G} $相关的分析分布空间上构造配对。通过考虑过度会议的抛物线共同体学组，并在Johansson的工作之后 - 我们为$ \ mathrm {gsp} _ {2G} $构建了cuspidal特征。然后，在分析分布上的配对会诱导尖齿特征变化的某些相干滑轮上的配对。作为应用程序，我们遵循贝拉奇（Bellaïche）的策略，研究了相应的重量空间上尖锐特征变量的后果轨迹。
In the present paper, we first construct a pairing on the space of analytic distributions associated with $\mathrm{GSp}_{2g}$. By considering the overconvergent parabolic cohomology groups and following the work of Johansson--Newton, we construct the cuspidal eigenvariety for $\mathrm{GSp}_{2g}$. The pairing on the analytic distributions then induces a pairing on some coherent sheaves of the cuspidal eigenvariety. As an application, we follow the strategy of Bellaïche to study the ramification locus of the cuspidal eigenvariety over the corresponding weight space.
