Clean the pointed cabbage, halve or quarter it and wash it briefly. Wash and peel the carrots. Put approx. 1/2 litre into a large, wide pot with steaming insert and bring to the boil. Put carrots and pointed cabbage in it, sprinkle with salt and stew covered for about 12 minutes.
Peel and finely chop the onion. Remove the seeds from the chilli and chop finely. Remove 6 cooked carrots from the pot and dice finely. Heat olive oil in a pan and sauté the onion. Add carrots and chillies, deglaze with stock and stir in ketchup.
Bring to the boil and let it boil down in the open pan for about 5 minutes. Season salsa with salt. Arrange the pointed cabbage on a plate with the carrot salsa. Garnish with the remaining carrots and sprinkle with parmesan slices.