Intersection formulas on moduli spaces of unitary shtukas

Yongyi Chen; Benjamin Howard

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arXiv · 2311.08161

Intersection formulas on moduli spaces of unitary shtukas

Yongyi Chen·Benjamin Howard

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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 $L$-functions.

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Yongyi Chen, Benjamin Howard. 2023-11-14. Intersection formulas on moduli spaces of unitary shtukas. https://arxiv.org/abs/2311.08161

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