Local models of Shimura varieties, I. Geometry and combinatorics
Algebraic Geometry
2011-08-30 v3 Number Theory
Representation Theory
Abstract
We survey the theory of local models of Shimura varieties. In particular, we discuss their definition and illustrate it by examples. We give an overview of the results on their geometry and combinatorics obtained in the last 15 years. We also exhibit their connections to other classes of algebraic varieties such as nilpotent orbit closures, affine Schubert varieties, quiver Grassmannians and wonderful completions of symmetric spaces.
Cite
@article{arxiv.1011.5551,
title = {Local models of Shimura varieties, I. Geometry and combinatorics},
author = {G. Pappas and M. Rapoport and B. Smithling},
journal= {arXiv preprint arXiv:1011.5551},
year = {2011}
}
Comments
86 pages, small corrections and improvements, to appear in the "Handbook of Moduli"