Intersection formulas on moduli spaces of unitary shtukas
Number Theory
2025-05-19 v2
Abstract
Feng-Yun-Zhang have proved a function field analogue of the arithmetic Siegel-Weil formula, relating special cycles on moduli spaces of unitary shtukas to higher derivatives of Eisenstein series. We prove an extension of this formula in a low-dimensional case, and deduce from it a Gross-Zagier style formula expressing intersection multiplicities of cycles in terms of higher derivatives of base-change -functions.
Keywords
Cite
@article{arxiv.2311.08161,
title = {Intersection formulas on moduli spaces of unitary shtukas},
author = {Yongyi Chen and Benjamin Howard},
journal= {arXiv preprint arXiv:2311.08161},
year = {2025}
}
Comments
Minor typos corrected. This is the final version, to appear in Research in Number Theory