论文标题
具有深bruhat水平结构的Shtukas模量空间的整体模型
Integral models of moduli spaces of shtukas with deep Bruhat-Tits level structures
论文作者
论文摘要
我们为具有深度乳头水平结构的Shtukas模量空间构建了整体模型。我们将全球shtukas的模量空间嵌入了深度的bruhat-tits方案中，以适用于所有相关的帕卡里克组方案的shtukas模量空间的极限。它的示意图定义了具有良好特性的深bruhat-tits shtukas模量空间不可或缺的模型：它们承认适当的，溢流和一般典型的典型级别图以及自然的牛顿分层。在德林菲尔德的情况下，这种整体模型的一般结构可恢复带有德林菲尔德水平结构的德林菲尔德shtukas的模量空间。
We construct integral models for moduli spaces of shtukas with deep Bruhat-Tits level structures. We embed the moduli space of global shtukas for a deep Bruhat-Tits group scheme into the limit of the moduli spaces of shtukas for all associated parahoric group schemes. Its schematic image defines an integral model of the moduli space of shtukas with deep Bruhat-Tits level with favourable properties: They admit proper, surjective and generically étale level maps as well as a natural Newton stratification. In the Drinfeld case, this general construction of integral models recovers the moduli space of Drinfeld shtukas with Drinfeld level structures.
