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The opposite of admissibility for local systems on line arrangements

Robert Harris

Source record

Source: arXiv

Published: Sep 29, 2026

arXiv: 2609.38103

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Source abstract

We study local systems on line arrangements for which no admissibility conditions are satisfied. In doing so we demonstrate the existence of these anti-admissible objects in both the finite and infinite setting and discuss their relation to the combinatorial data of arrangements. We also observe the connection between anti-admissibility and smooth branched coverings and how this connection is related to the branch set being minimal in one sense and maximal in another.

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The opposite of admissibility for local systems on line arrangements — Mathematical Frontier Network