Resonant bands, aomoto complex, and real 4-nets

Michele Torielli; Masahiko Yoshinaga

doi:10.5427/jsing.2015.11b

Resonant bands, aomoto complex, and real 4-nets

Michele Torielli, Masahiko Yoshinaga

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

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.

Original language	English (US)
Pages (from-to)	33-51
Number of pages	19
Journal	Journal of Singularities
Volume	11
DOIs	https://doi.org/10.5427/jsing.2015.11b
State	Published - Jan 2015
Externally published	Yes

ASJC Scopus subject areas

Geometry and Topology
Applied Mathematics

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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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AB - 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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Resonant bands, aomoto complex, and real 4-nets

Abstract

ASJC Scopus subject areas

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