Clean and wash the soup greens and leek and cut into slices or pieces. Heat the oil in a pot and sauté the vegetables in it for about 5 minutes at medium heat. Season with salt and pepper.
Deglaze with stock and tomatoes and bring to the boil. Add peas and cook. Cook for 12-15 minutes at low heat. In the meantime, bring milk and 1/2 teaspoon salt to the boil in a saucepan. Remove the pot from the heat and stir in the corn semolina.
Bring to the boil again briefly. Grate cheese finely and stir into the polenta mixture. With the help of 2 teaspoons of polenta dumplings cut off and form into cams. Bring salted water to the boil and let the dumplings simmer for 3-5 minutes at low heat.
Drain the dumplings. Season the stew again and serve with the dumplings on plates.