After the outdoor flowers are gone and the seeds collected, do you cut the green "leaves" to the ground or leave them?
Leave the leaves. They need the leaves to replenish the plant from all of the energy it lost producing flowers. If you are not in the tropics, you'll want to find a way to bring the plant indoors for the cold months. Also, following GardeningKnowHow's tips on Amaryllis care: https://www.gardeningknowhow.com/ornamental/bulbs/amaryllis-hippeastrum/amaryllis-care-instructions-how-to-care-for-an-amaryllis.htm