诱导的和完全的多重性
Induced and Complete Multinets
摘要：
复射影平面$\mathbb{P}^2$中的多重性线和点的某些配置称为多重性。它们出现在共振和复杂的超平面安排补充和Milnor纤维的上同调的特征品种的研究。本文通过几个例子讨论了多重性的两个性质：归纳性和完备性，以及它们之间的关系。专业化的多功能在我们的研究结果中起着不可或缺的作用。主要结果是完全3-网的分类。
英文摘要：
Multinets are certain configurations of lines and points with multiplicities in the complex projective plane $\mathbb{P}^2$. They appear in the study of resonance and characteristic varieties of complex hyperplane arrangement complements and cohomology of Milnor fibers. In this paper, two properties of multinets, inducibility and completeness, and the relationship between them are explored with several examples presented. Specializations of multinets plays an integral role in our findings. The main result is the classification of complete 3-nets.
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。
