论文标题
关于两个纤维束的注释和“ shtuka”的表现
A Note On Two Fiber Bundles and The Manifestations Of "Shtuka"
论文作者
论文摘要
在本说明中，我们打算从新的角度看一下全球$ g $ -shtukas的Moduli堆栈。我们讨论了对几个模量空间（堆栈）的统一解释，包括全球$ g $ -shtukas的模量和希格斯捆绑包的模量的变体。我们将这些空间（堆栈）视为有限类型的本地方案（堆栈）的不同纤维。我们讨论了这个家庭的本地模型理论（相对版本）。我们还考虑了$ g $ -shtukas的Moduli堆栈上的Hecke堆栈，并讨论相应的（动机）Hecke操作。
In this note we intend to look at the moduli stacks for global $G$-shtukas from a new perspective. We discuss a unifying interpretation of several moduli spaces (stacks) including moduli of global $G$-shtukas and (a variant of the) moduli of Higgs bundles. We view these spaces (stacks) as different fibers of a family over a scheme (stack) locally of finite type. We discuss (a relative version of) the local model theory for this family. We also consider the Hecke stacks over the moduli stack of $G$-shtukas and discuss the corresponding (motivic) Hecke operations.
