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Hida family of theta lift from U(1) to definite U(2)

Hida family of theta lift from U(1) to definite U(2)

Let K/F be a CM extension satisfying the ordinary assumption for an odd prime p. In this article, we construct Hida families that interpolate theta lifts of algebraic Hecke characters to a definite unitary group U(2) defined from skew-Hermitian spaces over K, and show that the Hida family is primitive …