Hard to start when hot

Ok here it what happens. when i drive it for about 20-30 km and i leave the car for about 10-45 minutes and try to start it again it will start however it will make these strange noises like it is about to die on me... if i try to hold the rpms steady for like 5 minutes it will run fine .... it sounds like there is not enough fuel reaching the engine. Could it be a fuel injector? ( could it be damaged) the funny thing is that if i leave it for an hour or more( after shutting off) it will start and drive just fine.... it is a V6 corsica '91 FI .... what could it be.

Sounds like your fuel injectors are leaking and flooding the engine.

would changing the fuel injector itself fix the problem or is there more to that...

Test with a presure guage to see if the injectors are leaking after you shut off the engine. Should hold presure.