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Bibliographic Details
Main Authors: Chen, Yongyi, Howard, Benjamin
Format: Preprint
Published: 2023
Subjects:
Online Access:https://arxiv.org/abs/2311.08161
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Table of Contents:
  • 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 $L$-functions.