Fix a scratched screen

[Guest Nikki Locke]

I bought a nice flip-top case for my HTC Desire. But I find the magnetic catch has been scratching the screen (despite a layer of padding I thought adequate). So I now have a blurry, scratched area about 5 mm across.

Has anyone any experience of removing scratches from glass screens? I wonder if there is some kind of polish that will do the trick.