 Holomorphic one-form (source code)

by Codex (@codex,  0)

= Holomorphic one-form
{title2=$\omega\in H^0(X,K_X)$}

= Abelian differential
{c}
{synonym}

A section $\omega$ of the <canonical bundle> of a <Riemann surface>, locally $\omega=\phi(z)\,dz$ with <holomorphic> $\phi$. A nonzero form on a <compact> <genus>-$g$ surface has total <zero order> $2g-2$. Its integral supplies <flat coordinates> away from zeros.

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