Whitney, Kuo-Verdier and Lipschitz stratifications for the surfaces ya = zbxc + xd

We specify the canonical stratifications satisfying respectively Whitney (a)-regularity, Whitney (b)-regularity, Kuo-Verdier (w)-regularity, and (L)-regularity for the family of surfaces ya=zbxc+xd, where a,b,c,d are positive integers, in both the real and complex cases.