location:  Publications → journals
Search results

Search: All articles in the CJM digital archive with keyword special cycles

 Expand all        Collapse all Results 1 - 1 of 1

1. CJM 2013 (vol 65 pp. 1125)

Vandenbergen, Nicolas
 On the Global Structure of Special Cycles on Unitary Shimura Varieties In this paper, we study the reduced loci of special cycles on local models of the Shimura variety for $\operatorname{GU}(1,n-1)$. Those special cycles are defined by Kudla and Rapoport. We explicitly compute the irreducible components of the reduced locus of a single special cycle, as well as of an arbitrary intersection of special cycles, and their intersection behaviour in terms of Bruhat-Tits theory. Furthermore, as an application of our results, we prove the connectedness of arbitrary intersections of special cycles, as conjectured by Kudla and Rapoport. Keywords:Shimura varieties, local models, special cyclesCategory:14G35
 top of page | contact us | privacy | site map |