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arXiv · 2103.11514

Higher Siegel--Weil formula for unitary groups: the non-singular terms

Tony Feng·Zhiwei Yun·Wei Zhang
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Abstract

We construct special cycles on the moduli stack of unitary shtukas. We prove an identity between (1) the r-th central derivative of non-singular Fourier coefficients of a normalized Siegel--Eisenstein series, and (2) the degree of special cycles of "virtual dimension 0" on the moduli stack of unitary shtukas with r legs. This may be viewed as a function-field analogue of the Kudla-Rapoport Conjecture, that has the additional feature of encompassing all higher derivatives of the Eisenstein series.

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Tony Feng, Zhiwei Yun, Wei Zhang. 2021-03-21. Higher Siegel--Weil formula for unitary groups: the non-singular terms. https://arxiv.org/abs/2103.11514

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