To be clear: you are running a marathon and two weeks later a 10k?
If so, you're thinking should be around recovery not training.
I guess you'll want to toe that 10k line fresh and ready, not even more wiped out.
You'll not know the effect your marathon will have on you until after it is run. How you and your body feels should influence the running you do between the two races.
I'd certainly train cautiously during that period; VO2max and other high intensity training will have little or no benefit in that small time-frame, but it could have very negative effects.
I would take it easy for a few days after the marathon, as your body dictates, and then with the few days left some active recovey: easy runs, maybe a few strides. Nothing too much, just keep the body ticking over. Take it easy with the stretching too, short duration (no more than 15 seconds per stretch) and low extension; those muscles are going to be damaged after the marathon.
You might not have considered the huge benefits to be made from some mental training too; many people don't.
So, take it easy, emphasis is on starting the 10k in a well-rested, fresh condition — and good luck and enjoy the rest after!