论文标题

Drinfeld Shtukas模量空间的水平地图

Compactification of Level Maps of Moduli Spaces of Drinfeld Shtukas

论文作者

Bieker, Patrick

论文摘要

我们为任何等级的Drinfeld Shtukas定义了Drinfeld水平结构,并表明它们的模量空间是常规的,并且可以允许有限的平面图。特别是,Drinfeld Shtukas的模量空间,带有Drinfeld $γ_0(\ Mathfrak {p}^n)$ - 级别结构提供了一个良好的积分模型和shtukas模量空间的相对压实,并使用naive $γ_0(\ m mathfrak {p} n)$ - 级别用于使用SHT的模量。

We define Drinfeld level structures for Drinfeld shtukas of any rank and show that their moduli spaces are regular and admit finite flat level maps. In particular, the moduli spaces of Drinfeld shtukas with Drinfeld $Γ_0(\mathfrak{p}^n)$-level structures provide a good integral model and relative compactification of the moduli space of shtukas with naive $Γ_0(\mathfrak{p}^n)$-level defined using shtukas for dilated group schemes.

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