关于嵌入复$3$ -流形的实PDMATHAAC-流形的小PDMATHAAB-扰动的复点的normal forms结构
On structures of normal forms of complex points of small $\mathcal{C}^{2}$-perturbations of real $4$-manifolds embedded in a complex $3$-manifold
摘要：
本文推广了我们以前关于嵌入复$3$ -流形的实$4$ -流形的小$\mathcal{C}^{2}$ -扰动的复点的二次部分的性质的结果。本文描述了复点的正规形的结构变化。它是一个定理的直接结果，该定理阐明了小扰动如何改变一个任意的和一个对称的$2\times 2$矩阵对关于某个线性群的作用的丛。
英文摘要：
We extend our previous result on the behavior of the quadratic part of a complex points of a small $\mathcal{C}^{2}$-perturbation of a real $4$-manifold embedded in a complex $3$-manifold. We describe the change of the structure of a normal form of a complex point. It is an immediate consequence of a theorem clarifying how small perturbations can change the bundle of a pair of one arbitrary and one symmetric $2\times 2$ matrix with respect to an action of a certain linear group.
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。
