Special cycles on unitary Shimura varieties II: Global theory
-
Stephen Kudla
and
Michael Rapoport
Abstract
We introduce moduli spaces
of abelian varieties which are arithmetic models of Shimura varieties
attached to unitary groups of signature
Funding source: NSERC Discovery Grant
We thank U. Terstiege for helpful discussions. This project was started at the Hirschberg conference in 1996 organized by J. Rohlfs and J. Schwermer. We also gratefully acknowledge the hospitality of the Erwin-Schrödinger-Institut, where part of this work was done, and the support of the Hausdorff Center of Mathematics in Bonn. The first author's research was partially supported by an NSERC Discovery Grant. Finally, we thank the referee for a thorough reading of the manuscript and for many helpful suggestions concerning both content and exposition.
© 2014 by De Gruyter
Articles in the same Issue
- Frontmatter
- Holomorphic one-forms, integral and rational points on complex hyperbolic surfaces
- Mordell–Weil groups of elliptic threefolds and the Alexander module of plane curves
- Reflexive differential forms on singular spaces. Geometry and cohomology
- Special cycles on unitary Shimura varieties II: Global theory
- Batalin–Vilkovisky structures on Ext and Tor
- Tangent cones and regularity of real hypersurfaces
Articles in the same Issue
- Frontmatter
- Holomorphic one-forms, integral and rational points on complex hyperbolic surfaces
- Mordell–Weil groups of elliptic threefolds and the Alexander module of plane curves
- Reflexive differential forms on singular spaces. Geometry and cohomology
- Special cycles on unitary Shimura varieties II: Global theory
- Batalin–Vilkovisky structures on Ext and Tor
- Tangent cones and regularity of real hypersurfaces
