This article is cited in 28 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.

UDC: 513.6

MSC: 14J25

Received: 29.05.1974

 English version: Mathematics of the USSR-Izvestiya, 1975, 9:3, 493–534

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