Algebraic automorphisms of smooth affine surfaces
Algebraic automorphisms of smooth affine surfaces
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光滑仿射曲面的代数自同构
DOI：
10.1007/bf01393901
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发表时间：
1989
影响因子：
3.1
通讯作者：
T. Petrie
中科院分区：
文献类型：
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作者：
T. Petrie
在一篇杰出的论文[R]中，Ramanujam展示了一个光滑可收缩仿射曲面R与复平面不同胚的例子。最近Gurjar-Miyanishi已经产生了无数不同的光滑可收缩仿射表面，一个是Kodaira维2，其余是Kodaira维1。它们分别被称为GM和G (u)。这里u的取值范围在某个离散集合上。（见第6节）。参见[GM] also本文的主要结果之一是这个定理：
In a remarkable paper [R] Ramanujam exhibited an example of a smooth contractible affine surface R not homeomorphic to the complex plane. Quite recently Gurjar-Miyanishi have produced an infinite number of distinct smooth contractible affine surfaces, one of Kodaira dimension 2 and the rest of Kodaira dimension 1. These are referred to as GM and G (u) respectively. Here u ranges over a certain discrete set.(See section 6). See [GM] also. One of the main results of this paper is this theorem: