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. It is obtained by putting a complex structure on the torus H n ( M , R ) / H n ( M , Z ) {\displaystyle H^{n}(M,\mathbb {R} )/H^{n}(M,\mathbb {Z} )} for n odd.
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. It is obtained by putting a complex structure on the torus H n ( M , R ) / H n ( M , Z ) {\displaystyle H^{n}(M,\mathbb {R} )/H^{n}(M,\mathbb {Z} )} for n odd.
Source: Wikipedia "Intermediate Jacobian" · CC BY-SA 4.0
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