ABSTRACT
Any germ of a holomorphic variety is represented by a unique equivalence class of germs of neatly imbedded holomorphic subvarieties, but by a vast array of inequivalent germs of general holomorphic subvarieties. The tangential dimension of a holomorphic variety may vary from point to point even when the variety itself is pure dimensional. To turn to a different aspect of the tangent space of a germ of a holomorphic variety, there is an alternative even more algebraic characterization of that tangent space. The observation may help to clarify the relation between the notions of germs of holomorphic varieties and germs of holomorphic subvarieties.
