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For n = 1 the intermediate Jacobian is the Picard variety, and for n = 2 dim(M) − 1 it is the Albanese variety.
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In mathematics, the intermediate Jacobian of a compact Kähler manifold or Hodge structure is a complex torus that is a common generalization of the Jacobian variety of a curve and the Picard variety and the Albanese variety.