In medium fry pan (preferably non stick), heat oil and butter on med-high heat. Place asparagus in pan trying to get in a single layer so all can cook evenly. Season with the salt and pepper (adjusting to taste), cover with a lid to help "steam" the asparagus for about 5-6 minutes, tossing occasionally with tongs. When done to your likeness of crisp or tender, toss in the parmesan cheese and serve immediately.