Geodesic
Resonant bands, Aomoto complex, and real 4-nets
Journal of Singularities, Tome 11 (2015), pp. 33-51

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The resonant band is a useful notion for the computation of the nontrivial monodromy eigenspaces of the Milnor fiber of a real line arrangement. In this article, we develop the resonant band description for the cohomology of the Aomoto complex. As an application, we prove that real 4-nets do not exist. 
@article{10_5427_jsing_2015_11b,
     author = {Michele Torielli and Masahiko Yoshinaga},
     title = {Resonant bands, {Aomoto} complex, and real 4-nets},
     journal = {Journal of Singularities},
     pages = {33--51},
     publisher = {mathdoc},
     volume = {11},
     year = {2015},
     doi = {10.5427/jsing.2015.11b},
     url = {http://geodesic.mathdoc.fr/articles/10.5427/jsing.2015.11b/}
}
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Michele Torielli; Masahiko Yoshinaga. Resonant bands, Aomoto complex, and real 4-nets. Journal of Singularities, Tome 11 (2015), pp. 33-51. doi: 10.5427/jsing.2015.11b

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