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Izv. Akad. Nauk SSSR Ser. Mat., 1974, Volume 38, Issue 1, Pages 42–58 (Mi izv1891)  

This article is cited in 2 scientific papers (total in 2 papers)

Examples of nonhomogeneous quasihomogeneous surfaces

M. Kh. Gizatullin, V. I. Danilov


Abstract: Over a field of arbitrary positive characteristic we construct a nonsingular affine surface $X$ which is quasihomogeneous but not homogeneous. More precisely, we find generators of the group of automorphisms of this surface and show that there exists a point $\xi\in X$ which is invariant under all the automorphisms of $X$, while $\operatorname{Aut}(X)$ acts transitively on the points of $X-\xi$.

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English version:
Mathematics of the USSR-Izvestiya, 1974, 8:1, 43–60

Bibliographic databases:

UDC: 513.6
MSC: 14J99, 14E05
Received: 08.05.1973

Citation: M. Kh. Gizatullin, V. I. Danilov, “Examples of nonhomogeneous quasihomogeneous surfaces”, Izv. Akad. Nauk SSSR Ser. Mat., 38:1 (1974), 42–58; Math. USSR-Izv., 8:1 (1974), 43–60

Citation in format AMSBIB
\Bibitem{GizDan74}
\by M.~Kh.~Gizatullin, V.~I.~Danilov
\paper Examples of nonhomogeneous quasihomogeneous surfaces
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1974
\vol 38
\issue 1
\pages 42--58
\mathnet{http://mi.mathnet.ru/izv1891}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=342519}
\zmath{https://zbmath.org/?q=an:0304.14023}
\transl
\jour Math. USSR-Izv.
\yr 1974
\vol 8
\issue 1
\pages 43--60
\crossref{https://doi.org/10.1070/IM1974v008n01ABEH002095}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. M. Kh. Gizatullin, V. I. Danilov, “Automorphisms of affine surfaces. I”, Math. USSR-Izv., 9:3 (1975), 493–534  mathnet  crossref  mathscinet  zmath
    2. M. Kh. Gizatullin, V. I. Danilov, “Automorphisms of affine surfaces. II”, Math. USSR-Izv., 11:1 (1977), 51–98  mathnet  crossref  mathscinet  zmath
  • Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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