Pure Hodge structure

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This article or section of article is sourced from:Wikipedia

Definition

Let H be an Abelian group. A pure Hodge structure of weight n on H is a decomposition of H \otimes \mathbb{C} as a direct sum of components H^{p,q} where p,q are nonnegative and p + q = n, such that \overline{H^{p,q}} = H^{q,p}.

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