For example, black velvet has no reflections at all while black posterboard might show them. A dark background sets off the small white sculpture. The lighting on small objects is just as important as it is for normal subjects. Objects need to be illuminated properly to bring out details and colors well. You can light a subject in several ways, depending on your objectives.
Electronic flash can freeze action and increase depth of field.
Your options are varied, limited only by your willingness to experiment. Even then, most lenses will curve otherwise straight lines at the periphery of the image because they are not designed for copying and are not perfectly rectilinear. There are other lens aberrations that make it difficult to keep the entire image in focus at the same time. This is one reason to use a small aperture that increases depth of field and uses the center portion of the lens where aberrations are least likely to affect the image. When photographing flat copy, you need even lighting.