Induced and Complete Multinets
Algebraic Geometry
2018-10-10 v2
Abstract
Multinets are certain configurations of lines and points with multiplicities in the complex projective plane . 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.
Cite
@article{arxiv.1502.02059,
title = {Induced and Complete Multinets},
author = {Jeremiah Bartz},
journal= {arXiv preprint arXiv:1502.02059},
year = {2018}
}
Comments
16 pages, 2 figures. Corrected minor typos, added subsection 2.3, Theorem 4.5, and Problem 4