# What is the meaning of “reduced schemes of finite type”?

What does the following term mean?

category of geometrically reduced schemes of finite type over some field

(I know what a category and a field is but I cannot translate any of the middle bits)

-

You need to consult a text on scheme theory, for instance Hartshorne's Algebraic Geometry. A scheme of finite type over a field $k$ is one with a finite cover of spectra of rings of the form $k[x_1,\ldots,x_m]/I$ where $I$ is an ideal. A reduced scheme is a scheme where for each open set $U$ the ring of functions defined over $U$ has no nonzero nilpotent elements. It's geometrically reduced if it remains reduced when the base field is changed to its algebraic closure.
It is probably worth mentioning that another name for this is the category of abstract (not necessarily separated) algebraic $k$-varieties.