Ice Cream Pie With Warm Blueberry Sauce

Check 1 store-bought refrigerated piecrust (such as Pillsbury)

Check 2 cups fresh blueberries

Check 1/3 cup sugar

Check 1/4 cup water

Check 1 tablespoon cornstarch

Check 1/8 teaspoon ground cinnamon

Check 2 pints vanilla ice cream

Check special equipment: four 4-inch tart pans