论文标题

Rapoport-Zink空间的本地模型

Local Models For Rapoport-Zink Spaces For Local P-Shtukas

论文作者

Rad, Esmail Arasteh

论文摘要

本文提供了``本地''的补充,该结果涉及``global''$ g $ -shtukas的Moduli堆栈的本地模型。在这里,我们通过为其构建本地型号来研究本地$ p $ shtukas的Rapoport-Zink空间的几何形状。我们进一步讨论了某些应用,包括一些与与这些空间相关的正式周期的理论以及相应滑轮上的弗罗贝尼乌斯的半简单痕迹有关的结果。

This article provides a ``local'' complementary to the previous results concerning the local models for the moduli stacks of ``global'' $G$-shtukas. Here we study the geometry of Rapoport-Zink spaces for local $P$-shtukas by constructing local models for them. We further discuss certain applications, including some results related to the theory of formal nearby cycles associated to these spaces and the semi-simple trace of Frobenius on the corresponding sheaves.

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