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Regularized theta lifts and (1,1)-currents on GSpin Shimura varieties

Regularized theta lifts and (1,1)-currents on GSpin Shimura varieties

We introduce a regularized theta lift for reductive dual pairs of the form (Sp 4 , O(V )) with V a quadratic vector space over a totally real number field F .The lift takes values in the space of (1, 1)-currents on the Shimura variety attached to GSpin(V ), and …