Carve tomatoes crosswise, blanch with boiling water, rinse cold and peel the skin. Cut tomatoes into quarters, remove seeds and dice. Peel shallots and 2 garlic cloves, dice finely. Wash basil, shake dry, remove leaves and chop.
For the polenta, bring the stock to the boil, pour in the polenta while stirring and let it swell at low heat for about 5 minutes. Fold in cheese and 50 g butter. Season with salt and nutmeg.
Wash the fish, dab dry. Press 1 clove of garlic into the skin, wash herbs, shake dry. Heat garlic and herbs with 2 tbsp. oil in a pan. Put the fish in with the skin side down and fry for about 8 minutes.
Then turn, fry briefly on the other side. Season with salt and pepper. Take the fish out and keep warm.
Heat 4 tablespoons of oil in the same pan, sauté the shallots and garlic cubes in it. Add the tomatoes and steam for about 1 minute. Remove herb twigs and garlic with skin. Add 75 g butter and basil to the pan and fold in.
Season to taste with salt, pepper and sugar. Roughly chop the herbs. Arrange polenta with fish and sauce on plates, sprinkle with herbs and serve immediately. A green salad tastes good with it.