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PreprintCC BY 4.0arXiv

Suciu's Conjecture on hyperplane arrangements

  • Marian Aprodu
  • Gavril Farkas
  • Claudiu Raicu
  • Alexander I. Suciu
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Abstract

We prove that the resonance of any hyperplane arrangement is separable. Using the main result from arXiv:2512.10160 this proves Suciu's conjecture on the fundamental group of every hyperplane arrangement, in its most effective form.

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Cite

BibTeXRIS
BibTeX
@misc{aprodu2026sucius,
  title = {{Suciu's Conjecture on hyperplane arrangements}},
  author = {Marian Aprodu and Gavril Farkas and Claudiu Raicu and Alexander I. Suciu},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.06683},
  eprint = {2610.06683},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.06683},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Suciu's Conjecture on hyperplane arrangements
AU  - Marian Aprodu
AU  - Gavril Farkas
AU  - Claudiu Raicu
AU  - Alexander I. Suciu
PY  - 2026
DA  - 2026/10/05
PB  - arXiv
DO  - 10.48550/arxiv.2610.06683
UR  - https://arxiv.org/abs/2610.06683
AB  - We prove that the resonance of any hyperplane arrangement is separable. Using the main result from arXiv:2512.10160 this proves Suciu's conjecture on the fundamental group of every hyperplane arrangement, in its most effective form.
ER  -