论文标题

Shtukas的模量空间在投影线上

Moduli Spaces of Shtukas over the Projective Line

论文作者

de Frutos-Fernández, María Inés

论文摘要

我们提供了$γ(n)$,$γ_1(n)$和$γ_0(n)$ Level结构的Drinfeld Shtukas模量的明确方程式,其中$ n $是$ \ Mathbb {p}^1 $的有效除数。如果$ n $的度足够高,则这些模量空间是相对表面。我们使用$γ_0(n)$级别结构的shtukas模量空间的一些不变性,几个度级别的$ 4 $除数$ \ mathbb {p}^1 $。

We provide explicit equations for moduli spaces of Drinfeld shtukas over the projective line with $Γ(N)$, $Γ_1(N)$ and $Γ_0(N)$ level structures, where $N$ is an effective divisor on $\mathbb{P}^1$. If the degree of $N$ is high enough, these moduli spaces are relative surfaces. We study some invariants of the moduli space of shtukas with $Γ_0(N)$ level structure for several degree $4$ divisors on $\mathbb{P}^1$.

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