# Notes on vector bundles in scheme theory

Here are some notes on vector bundles in scheme theory.

Some of the terminology I decided to use is nonstandard. There are also more accurate definitions when it comes to determining the essential images of some of the functors I describe in the notes. For example, the stacks projects’ definition of a vector bundle can be summarized “an object in the essential image of $\text{Spec}_S(\text{Sym}(-))$.”