Peel the asparagus spears and cut off the woody ends. Wash all asparagus skins and ends, put them in a pot with 800 ml cold water and bring to the boil. Season with salt and sugar. Cover and let it simmer at medium heat for about 15 minutes.
Peel and wash the carrots and cut or slice them into fine strips. Cut the asparagus spears into pieces. Remove 150 ml of asparagus water, put it with asparagus pieces into a small pot, cover and stew for about 3 minutes.
Wash the sugar snap peas, dab dry and cut lengthwise into fine strips. Add the vegetables to the asparagus and continue steaming for 3-4 minutes, season with salt and pepper. Wash chervil, dab dry and pluck leaves from the stalks, except for a few for garnishing.
Pour the asparagus shells onto a sieve, collect the stock. Melt the fat in a pot, dust with flour and sauté. Add asparagus stock and cream, bring to the boil and simmer for about 5 minutes. Season to taste with salt, pepper and sugar.
Add strips of vegetables, chervil and pieces of asparagus and warm them up. Serve the soup. Garnish with the remaining chervil.