• Corpus ID: 238856895

Higher theta series for unitary groups over function fields

@inproceedings{Feng2021HigherTS,
  title={Higher theta series for unitary groups over function fields},
  author={Tony Feng and Zhiwei Yun and Wei Zhang},
  year={2021}
}
In previous work, we defined certain virtual fundamental classes for special cycles on the moduli stack of Hermitian shtukas, and related them to the higher derivatives of non-singular Fourier coefficients of Siegel-Eisenstein series. In the present article, we construct virtual fundamental classes in greater generality, including those expected to relate to the higher derivatives of singular Fourier coefficients. We assemble these classes into"higher"theta series, which we conjecture to be… 
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