论文标题
闭合gl_n标志品种中的O_n轨道的关闭，II
Closures of O_n orbits in the flag variety for GL_n, II
论文作者
论文摘要
对于bruhat图中的底部顶点的偶联物，我们给出了gl_n中的o_n orbit o的底部顶点的偶联物的模式避免，我们给出了必要的条件，以使GL_N在o_n orbit o中，以使该图的等级等于该图作为poset，这表明该条件与o的合理平稳性相当。
We give a necessary and sufficient condition in terms of pattern avoidance for the conjugates of the bottom vertex in the Bruhat graph attached to an O_n orbit O in the flag variety for GL_n to have degree equal to the rank of this graph as a poset, showing that this condition is equivalent to the rational smoothness of the closure of O. We also give a necessary and sufficient condition in terms of pattern avoidance for the closure of O to be smooth.
