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[几何] 二次曲线系的分类

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hbghlyj posted 2024-2-17 17:01 |Read mode
arxiv.org/pdf/2009.04334.pdf
Example 1.3 (n = 3). There are five strata Grσ in the Grassmannian Gr(2,$\mathbb S^3$):

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original poster hbghlyj posted 2024-2-17 17:07
$[1,1,1]$举例说明

表中的其他4类分别是什么样的?

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original poster hbghlyj posted 2024-2-17 17:16
$[2,1]$举例说明

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original poster hbghlyj posted 2024-2-17 17:26
$[3]$举例说明

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original poster hbghlyj posted 2024-2-17 17:27
$[(1,1),1]$举例说明

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original poster hbghlyj posted 2024-2-17 17:42
$[(2,1)]$举例说明

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original poster hbghlyj posted 2024-2-17 17:59

例如,从四个不同的点开始,其中两个点越来越近,所以我们得到两个重合点和另外两个点

有两种方法继续:首先,如果另外两个点越来越近,我们得到两个重合点和两个重合点;其次,如果另外两个点之一越来越接近前两个重合点,我们得到三个重合点和另一个点。

最后四个点合在一起得到重合4点

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original poster hbghlyj posted 2024-2-17 18:08

当 n=4 时如何解释?
似乎更复杂

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