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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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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


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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Additional Information
  • Yoshiyuki Sakamaki
  • Affiliation: Graduate School of Mathematics, Kyushu University, Hakozaki 6-10-1, Higashi-ku, Fukuoka, 812-8581, Japan
  • Address at time of publication: System Engineering Laboratory, Toshiba Corporate Research & Development Center, 1, Komukai Toshiba-cho, Saiwai-ku, Kawasaki-shi, Kanagawa, 212-8582, Japan
  • Email:,
  • Received by editor(s): November 13, 2007
  • Received by editor(s) in revised form: July 29, 2008
  • Published electronically: December 3, 2009
  • © Copyright 2009 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Trans. Amer. Math. Soc. 362 (2010), 2641-2666
  • MSC (2010): Primary 14J50; Secondary 14J17
  • DOI:
  • MathSciNet review: 2584614