AI 中文总结
该研究围绕复克莱因群极限集的渐近结构，明确了$\theta$-发散情形下各类极限集的关系，证明了特定条件下等连续区域与Kulkarni普通区域重合。
AI 中文摘要
我们围绕伪射影退化以及发散序列携带的全旗或部分旗数据所编码的共同渐近结构，整理了$\boldsymbol{\rm{PSL}}(3,\boldsymbol{\rm{C}})$离散子群极限集的若干自然概念。在$\theta$-发散情形下，全旗极限集的两个投影分别对应吸引和排斥射影边界集，而Myrberg极限集是极限射影直线的并集。因此等连续区域是典型直线构型的补集；在通常的三线一般位置假设下，该构型同时为Kulkarni极限集，且等连续区域与Kulkarni普通区域重合。
英文摘要
We organize several natural notions of limit set for discrete subgroups of $\mathrm{PSL}(3,\mathbb{C})$ around a common asymptotic structure encoded by pseudo--projective degeneration and by the full or partial flag data carried by divergent sequences. In the $θ$-divergent case, the two projections of the full-flag limit set recover the attracting and repelling projective boundary sets, while the Myrberg limit set is the union of the limiting projective lines. Thus the equicontinuity region is the complement of a canonical line configuration; under the usual three-line general-position hypothesis, this same configuration is the Kulkarni limit set and the equicontinuity and Kulkarni ordinary regions coincide.
