Dolbeault cohomology (source code)

= Dolbeault cohomology
{c}
{title2=$H^{p,q}_{\bar\partial}(X)$}
{wiki}

Dolbeault cohomology is
$$
H^{p,q}_{\bar\partial}(X)=\ker(\bar\partial:\Omega^{p,q}\to\Omega^{p,q+1})/\operatorname{im}(\bar\partial:\Omega^{p,q-1}\to\Omega^{p,q}).
$$