Holomorphic volume form
= Holomorphic volume form
{title2=$\Omega$}
On a <complex manifold> of complex <dimension> $n$, a holomorphic volume form is a nowhere-vanishing holomorphic <differential form> of type $(n,0)$. On $\mathbb C^n$, the form $dz_1\wedge\cdots\wedge dz_n$ transforms under a complex linear coordinate change by the <determinant>. It is consequently preserved by the <special unitary group> $SU(n)$.