弧图运算与线性算子的不变子空间的退化
Operations on Arc Diagrams and Degenerations for Invariant Subspaces of Linear Operators
摘要：
研究了与幂零算子的不变子空间相关的簇的几何性质。存在作用于这些簇的约化代数群。我们给这些行动的轨道尺寸。此外，给出了由退化给出的偏序的组合特征。
英文摘要：
We study geometric properties of varieties associated with invariant subspaces of nilpotent operators. There are reductive algebraic groups acting on these varieties. We give dimensions of orbits of these actions. Moreover, a combinatorial characterization of the partial order given by degenerations is described.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
