Hodge number (source code)

= Hodge number
{c}
{title2=$h^{p,q}$}

The Hodge number of a compact complex manifold is $h^{p,q}=\dim_{\mathbb C}H^{p,q}_{\bar\partial}(X)$.

For a compact <Kähler manifold>, these dimensions are the graded dimensions in its <Hodge structure>.