English

A Gross-Kohnen-Zagier type formula for moduli of shtukas with Iwahori level structures

Number Theory 2019-04-26 v1

Abstract

In this paper I'm going to study the intersection of two Heegner-Drinfeld cycles coming from two different nonsplit tori on the Yun-Zhang moduli stack of PGL2PGL_2 Drinfeld stukas with Iwahori level structure. We will see that the intersection number is related to a certain period integral. It is an extension of the result by Howard-Shinidman to the Iwahori case.

Keywords

Cite

@article{arxiv.1904.11479,
  title  = {A Gross-Kohnen-Zagier type formula for moduli of shtukas with Iwahori level structures},
  author = {Hao Li},
  journal= {arXiv preprint arXiv:1904.11479},
  year   = {2019}
}