Set a pizza stone on the lower oven rack. Preheat the oven to 450° F.
Roll the dough into a 10" circle. Gently place the dough on a pizza peel dusted with cornmeal. Sprinkle dough first with mozzarella, then spread evenly with tomato slices, and follow with shredded asiago.
Slide pizza on the stone. Bake in the preheated oven 5 to 7 minutes or until crisp and golden brown. Remove from the oven, drizzle with olive oil, and then sprinkle with the chiffonade of basil. Cut the pizza into 8 slices. Serve immediately.
Makes one 10" pizza.