Crepant Resolutions of C n /A1(n) and Flops of n-Folds for n = 4, 5

In this article, we determine the explicit toric variety structure of Hilb A1(n) (C n) for n = 4, 5, where A 1 (n) is the special diagonal group of all order 2 elements. Through the toric data of Hilb A1(n) (C n), we obtain certain toric crepant resolutions of C n /A 1 (n), and the different crepant resolutions are connected by flops of n-folds for n = 4, 5.