English

On local representation densities of hermitian forms and special cycles II

Number Theory 2022-08-02 v1 Algebraic Geometry Representation Theory

Abstract

In this paper, we prove that there are certain relations among representation densities and provide an efficient way to compute representation densities by using these relations. As an application, we compute some arithmetic intersection numbers of special cycles on unitary Shimura varieties and propose a conjecture on these.

Keywords

Cite

@article{arxiv.2208.00378,
  title  = {On local representation densities of hermitian forms and special cycles II},
  author = {Sungyoon Cho},
  journal= {arXiv preprint arXiv:2208.00378},
  year   = {2022}
}

Comments

43 pages