Higher Siegel–Weil formula for unitary groups: the non-singular terms
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222_2023_Article_1228.pdf
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Author(s)
Feng, Tony
Yun, Zhiwei
Zhang, Wei
Date Issued
November 27, 2023
Publisher
Springer Berlin Heidelberg
Citation
Feng, Tony, Yun, Zhiwei and Zhang, Wei. 2023. "Higher Siegel–Weil formula for unitary groups: the non-singular terms."
Version
Final published version
Abstract
We construct special cycles on the moduli stack of hermitian shtukas. We prove an identity between (1) the
r
th
$r^{\mathrm{th}}$
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 hermitian shtukas with
r
$r$
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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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Creative Commons Attribution
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DOI of Published Version
https://doi.org/10.1007/s00222-023-01228-y
