Sweat the onion and garlic in olive oil. Add the sliced fennel, potatoes, apples and pointed peppers. Sweat everything for a while.
Pour white wine on top and let it boil off a little. Pour the broth on top, add the spices and horseradish. Let simmer for a while (until the potato pieces are soft). If you like, you can refine the soup with a little sour cream and serve with black bread.