Combine cookie or graham cracker crumbs with butter or margarine. Press into bottom and partially up sides of 9 inch springform pan. Refrigerate.
In a large bowl, beat with an electric mixer the cream cheese, sugar, grated lime, and cornstarch until smooth and fluffy. Beat in eggs one at a time, blending just until smooth. Add key lime juice with mixer on low. Finish mixing by hand. Do not over beat. Pour batter into prepared crust.
Bake at 300 degrees F (150 degrees C) for 55 to 65 minutes, or until set. To minimize cracking, place a shallow pan half full of hot water on lower rack during baking.
Turn oven off, and let cheesecake stand in oven 30 minutes with the door open at least 4 inches. Remove from oven. Refrigerate cake overnight, and up to three days. Top with Light Whipped Cream to serve.