[wierd1001]

Look at your ignition key. If you have a pellet in it a little ways from the key pattern, then your car is equipped with VATS or an early Gm version of PASSKEY. That pellet in your key puts out a resisitance code to your ignition cylinder. If the car sees the correct resistance during crank, it starts. if it doesnt then it shuts down the fuel causing the problem you have now. Your pump will still run but your injectors will not engage. You then have to wait 3-10 minutes for the system to reset itself.

Very common problems with this are a dirty contact on the key. Try changing keys and see what happens. Otherwise the contacts have worn out in your ignition cylinder and you may need to get that replaced.

Let me know if that solves the problem