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The classification of normal singular cubic surfaces in P 3 over a complex number field C was given by J. W. Bruce and C. T. C. Wall. In this paper, first we prove their results by a different way, second we provide normal forms of normal singular cubic surfaces according to the type of singularities, and finally we determine automorphism groups on normal singular cubic surfaces with no parameters.

Automorphism groups on normal singular cubic surfaces with no parameters