What could I use to polish a piece of glass with some shallow nicks in it to make it look shiny?

My continuing adventures trying to learn to make fused glass jewelry…

I use a Dremel tool with a diamond tip to smooth out rough edges on my pieces. Well today I was working on a beautiful piece that I love and my hand slipped and the tool scratched up the front surface a little bit…argh! I could put it back in the kiln for a few minutes to get it to smooth out again, but every time you heat glass you risk breaking it. Is there some kind of cloth or cleaner (available cheaply) that I could use on it that would make the nicks less visible?