Wash and peel the asparagus, cut off the lower woody ends. Bring plenty of water, salt and sugar to the boil, add asparagus, bring to the boil and cook over a low heat for about 15 minutes. In the meantime wash chicken fillets, dab dry and season with salt and pepper. Heat oil in a pan, fry meat on each side for about 5 minutes. Take out. Lift the asparagus out of the water and let it evaporate a little. Cut the chicken fillet into slices.
Grease the baking dish well. Place the asparagus and chicken slices in the baking dish and spread the hollandaise sauce on top. Add the pesto as a clover. Gratinate the gratin in the preheated oven (electric cooker: 200 °C/ convection oven: 175 °C/ gas: level 3) for about 15 minutes. Take out and serve immediately. Tastes good with mashed potatoes