Holomorphic subbundle
= Holomorphic subbundle
A holomorphic subbundle of a <holomorphic vector bundle> is a constant-rank <vector subbundle> which is locally spanned by a holomorphic linearly independent family of sections and whose inclusion is a <holomorphic bundle map>. It has an induced <holomorphic vector bundle> structure. A varying-rank coherent subsheaf is not generally a subbundle.