Automorphism groups on normal singular cubic surfaces with no parameters

Sakamaki, Yoshiyuki

doi:10.1090/S0002-9947-09-05023-5

Automorphism groups on normal singular cubic surfaces with no parameters
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by Yoshiyuki Sakamaki PDF

Trans. Amer. Math. Soc. 362 (2010), 2641-2666 Request permission

Abstract:

The classification of normal singular cubic surfaces in $\mathbf {P}^3$ over a complex number field $\mathbf {C}$ 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.

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