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arXiv · 1404.5014

Resonant bands, Aomoto complex, and real 4-nets

Michele Torielli·Masahiko Yoshinaga
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Abstract

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.

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Michele Torielli, Masahiko Yoshinaga. 2014-04-28. Resonant bands, Aomoto complex, and real 4-nets. https://arxiv.org/abs/1404.5014

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