Holomorphic local trivialization
= Holomorphic local trivialization
A holomorphic local trivialization of a rank-$r$ <holomorphic vector bundle> $E\to X$ is a <biholomorphic> bundle map $E|_U\to U\times\mathbb C^r$ that is complex linear on each fiber. Equivalently, it is a local frame of holomorphic sections.
= Holomorphic local frame
{synonym}