Holomorphic cubic differential
= Holomorphic cubic differential
{title2=$c\in H^0(X,K_X^3)$}
A section of the cube of the <canonical bundle>, locally $c=\phi(z)\,dz^3$ with <holomorphic> coefficient. The <flat coordinates> obtained by integrating cube roots have transitions $w\mapsto\zeta w+b$, $\zeta^3=1$; general real-linear deformations do not preserve these as <holomorphic> transitions.