Local Models For Rapoport-Zink Spaces For Local P-Shtukas
Number Theory
2023-12-07 v4
Abstract
This article provides a ``local'' complementary to the previous results concerning the local models for the moduli stacks of ``global'' -shtukas. Here we study the geometry of Rapoport-Zink spaces for local -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.
Keywords
Cite
@article{arxiv.2010.05361,
title = {Local Models For Rapoport-Zink Spaces For Local P-Shtukas},
author = {Esmail Arasteh Rad},
journal= {arXiv preprint arXiv:2010.05361},
year = {2023}
}
Comments
35 pages. arXiv admin note: substantial text overlap with arXiv:1807.03301