For every order r, the r-th central derivative of a corank one Fourier coefficient of a unitary Eisenstein series equals the degree of a corank one special 0-cycle on Hermitian shtukas.
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Higher Siegel--Weil formula for unitary groups II: corank one terms
For every order r, the r-th central derivative of a corank one Fourier coefficient of a unitary Eisenstein series equals the degree of a corank one special 0-cycle on Hermitian shtukas.