most likely alternator is fried. Car ran on battery for some time and then once the battery died so did your car. The battery light blinks when your voltage that the alternator puts out drops below a particular number (I think it is 12.5V). Had a similar issue with my car and had to have my alternator rebuilt recently. I caught it in time tho and didn't get stranded.
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--'00 BMW ///M5 .:Avus Blue/Grey/Black:.
'88 BMW 635CSi Blue/Tan Sport
'81 MB 500 SEC Euro Koenig
'91 Alfa Romer 164S- Red/Black/ Recaro interior