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PreprintarXiv licencearXiv

The opposite of admissibility for local systems on line arrangements

  • Robert Harris
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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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Cite

BibTeXRIS
BibTeX
@misc{harris2026opposite,
  title = {{The opposite of admissibility for local systems on line arrangements}},
  author = {Robert Harris},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.38103},
  eprint = {2609.38103},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.38103},
}
RIS
TY  - UNPB
TI  - The opposite of admissibility for local systems on line arrangements
AU  - Robert Harris
PY  - 2026
DA  - 2026/09/29
PB  - arXiv
DO  - 10.48550/arxiv.2609.38103
UR  - https://arxiv.org/abs/2609.38103
AB  - 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.
ER  -