English

Introduction to Shimura varieties with bad reduction of parahoric type

Algebraic Geometry 2007-05-23 v1 Number Theory

Abstract

This survey article explains the construction of Rapoport-Zink local models and their use in understanding various questions relating to the singularities in the reduction modulo p of certain Shimura varieties with parahoric level structure at p.

Keywords

Cite

@article{arxiv.math/0409482,
  title  = {Introduction to Shimura varieties with bad reduction of parahoric type},
  author = {Thomas J. Haines},
  journal= {arXiv preprint arXiv:math/0409482},
  year   = {2007}
}

Comments

An expanded version of my short course in the June 2003 Summer School on Harmonic Analysis, the Trace Formula, and Shimura Varieties, held at the Fields Institute; 63 pp., 2 figures