Pure Hodge structure

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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 ${\overline {H^{p,q}}}=H^{q,p}$.

External links

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