Cut the peppers on the stem side and set the lid aside. Carefully remove the midsection and seeds without damaging the shell.
Heat the oil in a pan, stir in the onion, chili powder, caraway seeds, tomato paste and rice. Season with salt and pepper. Add water. Cover up. Bring slowly to a boil, stir once. Reduce the heat, cover and simmer until almost all of the water is absorbed. Remove from the hotplate. Cover and let stand for 5 minutes, until the water has evaporated and the rice is just soft. Stir in the corn, chillies and 1/2 cup of cheese.
Fill each pepper with the rice mixture and sprinkle with the rest of the cheese. Put the cover back on. Place the peppers on a baking sheet. Bake in the hot oven for 15 minutes or until the pods have softened a little.