论文标题
Siegel模块化种类的EKOR分层,带有脊骨水平结构
The EKOR-stratification on the Siegel modular variety with parahoric level structure
论文作者
论文摘要
我们研究了带有脊骨水平结构的Siegel模块化品种的还原模量$ p $的算术几何形状。我们意识到这种品种的Ekor分层,因为平滑形态的纤维变成了某些截短显示的代数堆栈参数化均匀偏振链的代数堆栈。
We study the arithmetic geometry of the reduction modulo $p$ of the Siegel modular variety with parahoric level structure. We realize the EKOR-stratification on this variety as the fibers of a smooth morphism into an algebraic stack parametrizing homogeneously polarized chains of certain truncated displays.