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We specify the canonical stratifications satisfying respectively Whitney(a)-regularity, Whitney (b)-regularity, Kuo-Verdier (w)-regularity, andMostowski (L)-regularity for the family of surfaces y^a = t^b x^c + x^d, wherea, b, c, d are positive integers, in both the real and complex cases.

Whitney, Kuo-Verdier and Lipschitz stratifications for the surfaces y^a = t^b x^c +x^d