Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4658449 | Topology and its Applications | 2014 | 12 Pages |
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
Shaheen Nazir, Michele Torielli, Masahiko Yoshinaga,