On the Stability of the Action of AN Algebraic Group on AN Algebraic Variety
On the Stability of the Action of AN Algebraic Group on AN Algebraic Variety
复制标题
AN代数群对AN代数簇作用的稳定性
DOI：
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发表时间：
1972
期刊：
影响因子：
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通讯作者：
V. Popov
中科院分区：
文献类型：
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作者：
V. Popov
我们证明了以下事实：如果一个没有有理特征的连通代数群正则作用于一个具有周期因子类群的正规不可约代数簇，那么对于一般位置上点的轨道是闭的，就足以证明它是仿射簇；而且，如果是仿射的，这个条件也是充分的。
We prove the following fact: if a connected algebraic group having no rational characters acts regularly on a normal irreducible algebraic variety with periodic divisor class group , then for the orbit of a point in general position to be closed, it is sufficient that be an affine variety; moreover, if is affine, this condition is also sufficient.