Structure sheaf of a complex manifold (source code)

= Structure sheaf of a complex manifold
{title2=$\mathcal O_M$}

= Sheaf of holomorphic functions
{synonym}

The structure sheaf assigns to an open set its ring of <holomorphic functions>. Its invertible sections form the sheaf $\mathcal O_M^*$ of nowhere-zero <holomorphic functions>.