That seductive gleam on that Porsche behind the dealer's window? It's called a burnish, a gloss only achieved by loads of polishing. Likewise, you can burnish resume, by polishing it until it's perfect.
A caution about usage: burnish in the physical sense is usually reserved for inanimate objects — a woman will not be happy to hear that her appearance is "burnished to perfection." But your car will thank you. Also, one of the most common non-physical things to be burnished? A reputation. People are forever burnishing them — and its opposite, besmirching them (i.e., making them dirty).