The authors construct explicit boundary corrections making the Kudla-Millson generating series of special cycles on compactified unitary Shimura varieties a holomorphic Hermitian modular form for codimensions g ≤ n/2.
Smooth compactifications of locally symmetric varieties
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The cohomological Kudla conjecture for unitary Shimura varieties
The authors construct explicit boundary corrections making the Kudla-Millson generating series of special cycles on compactified unitary Shimura varieties a holomorphic Hermitian modular form for codimensions g ≤ n/2.