Wash, peel and thinly slice the carrots and potatoes. Pre-cook in salted water for about 20 minutes on medium heat. In the meantime, wash the leek and cut it into small slices. Add to the vegetables shortly before the end of the cooking time.
Meanwhile let the butter melt and let the flour sweat lightly. Deglaze with milk and cream. Then bring to the boil briefly while stirring and season with the spices and vegetable stock.
Layer the potatoes and vegetables in a flat baking dish and pour the sauce over them. Sprinkle with the cheese.
Place in the oven at 200 ° C for approx. 25 - 30 minutes.