English

Special cycles on the basic locus of unitary Shimura varieties at ramified primes

Algebraic Geometry 2023-09-20 v4

Abstract

In this paper, we study special cycles on the basic locus of certain unitary Shimura varieties over the ramified primes and their local analogues on the corresponding Rapoport-Zink spaces. We study the support and compute the dimension of these cycles.

Keywords

Cite

@article{arxiv.1811.11227,
  title  = {Special cycles on the basic locus of unitary Shimura varieties at ramified primes},
  author = {Yousheng Shi},
  journal= {arXiv preprint arXiv:1811.11227},
  year   = {2023}
}