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).