Geometry of Shimura varieties of Hodge type over finite fields
Number Theory
2008-08-12 v1 Commutative Algebra
Abstract
We present a general and comprehensive overview of recent developments in the theory of integral models of Shimura varieties of Hodge type. The paper covers the following topics: construction of integral models, their possible moduli interpretations, their uniqueness, their smoothness, their properness, and basic stratifications of their special fibres.
Keywords
Cite
@article{arxiv.0712.1840,
title = {Geometry of Shimura varieties of Hodge type over finite fields},
author = {Adrian Vasiu},
journal= {arXiv preprint arXiv:0712.1840},
year = {2008}
}
Comments
47 pages. Enlarged version of the three lectures we gave in July 2007 during the summer school "Higher dimensional geometry over finite fields", June 25 - July 06, 2007, Mathematisches Institut, Georg-August-Universit\"at G\"ottingen