Projective hyperkähler manifolds of K3^[n] type with T(X)⊗Q embedding into U³⊗Q admit algebraic correspondences to abelian varieties inducing Hodge isometries of transcendental lattices.
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Correspondences for hyperk\"ahler varieties with large Picard numbers
Projective hyperkähler manifolds of K3^[n] type with T(X)⊗Q embedding into U³⊗Q admit algebraic correspondences to abelian varieties inducing Hodge isometries of transcendental lattices.