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Mathematics > Algebraic Geometry

arXiv:1404.5014 (math)
[Submitted on 20 Apr 2014 (v1), last revised 28 Apr 2014 (this version, v3)]

Title:Resonant bands, Aomoto complex, and real 4-nets

Authors: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.
Comments: 23 pages, 7 figures
Subjects: Algebraic Geometry (math.AG); Combinatorics (math.CO); General Topology (math.GN); Geometric Topology (math.GT)
Cite as: arXiv:1404.5014 [math.AG]
  (or arXiv:1404.5014v3 [math.AG] for this version)
  https://doi.org/10.48550/arXiv.1404.5014
Journal reference: Journal of Singularities, 11 (2015) 33-51

Submission history

From: Michele Torielli [view email]
[v1] Sun, 20 Apr 2014 05:34:17 UTC (30 KB)
[v2] Thu, 24 Apr 2014 06:30:15 UTC (22 KB)
[v3] Mon, 28 Apr 2014 06:43:38 UTC (22 KB)
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