Pure Hodge structure

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

External links

• Wikipedia page