Canonical models of (mixed) Shimura varieties and automorphic vector bundles --- J.S. Milne   Top
Expository Notes
A Primer of Commutative Algebra
Motives---Grothendieck's Dream
What is a Shimura Variety?
Introduction to Shimura Varieties
Shimura Varieties and Moduli
Tannakian Categories
The Work of Tate
Errata
Scan of original published article 1990
ReTexed corrected manuscript March 11, 2018

Abstract

This is the article published in
Automorphic forms, Shimura varieties, and L-functions. Vol. I. Proceedings of the conference held at the University of Michigan, Ann Arbor, Michigan, July 6--16, 1988. Edited by Laurent Clozel and James S. Milne. Perspectives in Mathematics, 10. Academic Press, Inc., Boston, MA, 1990.
except that the TeX-file has been translated into a more modern version of TeX, some minor misprints have been corrected (and, perhaps, others added), and a few footnotes have been added.

The article surveys what was known, or conjectured, about canonical models of Shimura varieties and related objects at the time it was written (1988).

Contents

  1. Abelian varieties with complex multiplication
  2. Shimura varieties
  3. Automorphic vector bundles
  4. One-motives
  5. Toroidal compactification
  6. Mixed Shimura varieties
  7. Fourier-Jacobi series.