On the global structure of special cycles on unitary Shimura varieties
Algebraic Geometry
2019-08-15 v1 Number Theory
Abstract
In this paper, we study the reduced loci of special cycles on local models of the Shimura variety for GU(1; n-1). We explicitly compute the global structure of the reduced locus of a single special cycle, as well as of an arbitrary intersection of special cycles, 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
Cite
@article{arxiv.1110.0863,
title = {On the global structure of special cycles on unitary Shimura varieties},
author = {Nicolas Vandenbergen},
journal= {arXiv preprint arXiv:1110.0863},
year = {2019}
}