When warm the car does not idle. when its cold it starts and drives fine. when it warms up it shuts off and idles rough.

Dirty air filter, dirty throttle body...try 2 bottles of gas line fuel injector cleaner...has your car been parked for awhile? Heet gas additive will work on any low gas tank sludge that you may have. Hope this helps.

Should be on or near the fuel injector supply rail.

sounds like low compression at start up do to piston slap and not alowing car to warm up over the years before driving off. 3.1, 3.4, 3.5 motor pistons are exact size at operating temp there for cold temps at start up cause the pistons to slap the cylinder wall.. Gm engineers did this to reduce operating temp while driving by lowering friction in the cylinder. problem is most people these days start there cars and take off down the road..my suggesting would be to check piston compersion at operating temp and see if it meets spefications for ur mottor before replacing any other parts...

sounds as though the fuel system is set for a differant climate then your living in take it to the shop and get it set for your area

Could be the fast idle sensor check to see that the vacume line is hooked up properly.

that means could be vacuum leak

Faulty idle air control valve. You could try and clean it with some carb cleaner, or replace it.

Make sure all the glow plugs are working.

if u have a damaged plug it can be running on 1 less cylinder ,it will idle very rough,change it!

MAY REQUIRER THROTTLE BODY CLEAN UP,OR FUEL CLEANER IN THE SYSTEM...