Assuming the Bloch-Beilinson conjecture, the Chow group valued generating series for special cycles on orthogonal Shimura varieties over totally real fields is modular in all codimensions and for all d_+.
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Remarks on generating series for special cycles
Assuming the Bloch-Beilinson conjecture, the Chow group valued generating series for special cycles on orthogonal Shimura varieties over totally real fields is modular in all codimensions and for all d_+.