Removing scratches from car windscreen

[Misty77]

I don't know whether kids have been messing about, but I tried to clean my windscreen this morning and the blade on my driver side wiper was missing. It was pitch black and I didn't realise anything was wrong, until I heard an awful plastic onto glass scraping noise... Basically I was trying to clean my windsreen with an empty wiper, and it's left scratch marks on the glass across the windscreen. They're not very obvious from the outside, but I can see the clearly from the inside. Anyone know if I can get these out, or at least make them look less obvious ?

[logic]

try buffing them out with brasso,
But it's hard work.