On the admissibility of certain local systems

Shaheen Nazir, Michele Torielli, Masahiko Yoshinaga

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

A rank one local system on the complement of a hyperplane arrangement is said to be admissible if it satisfies certain non-positivity condition at every resonant edges. It is known that the cohomology of admissible local system can be computed combinatorially. In this paper, we study the structure of the set of all non-admissible local systems in the character torus. We prove that the set of non-admissible local systems forms a union of subtori. The relations with characteristic varieties are also discussed.

Original languageEnglish (US)
Pages (from-to)288-299
Number of pages12
JournalTopology and its Applications
Volume178
DOIs
StatePublished - Dec 1 2014
Externally publishedYes

Keywords

  • Admissible local systems
  • Characteristic variety
  • Line arrangements

ASJC Scopus subject areas

  • Geometry and Topology

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