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This article is cited in 27 scientific papers (total in 27 papers)
Automorphisms of affine surfaces. I
M. Kh. Gizatullin, V. I. Danilov
Abstract:
We study the group of automorphisms $\operatorname{Aut}(X)$ of an affine surface $X$ which can be made complete by adding a zigzag. This study is based on the computation of the action of $\operatorname{Aut}(X)$ on a certain tree $\Delta_X$ associated with the surface $X$. Our results are used to give a description of forms of the surface $X$ and of algebraic subgroups of $\operatorname{Aut}(X)$.
Bibliography: 15 items.
Received: 29.05.1974
Citation:
M. Kh. Gizatullin, V. I. Danilov, “Automorphisms of affine surfaces. I”, Izv. Akad. Nauk SSSR Ser. Mat., 39:3 (1975), 523–565; Math. USSR-Izv., 9:3 (1975), 493–534
Linking options:
https://www.mathnet.ru/eng/im2041https://doi.org/10.1070/IM1975v009n03ABEH001489 https://www.mathnet.ru/eng/im/v39/i3/p523
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Abstract page: | 505 | Russian version PDF: | 194 | English version PDF: | 17 | References: | 60 | First page: | 1 |
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