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Resonance varieties of Schubert arrangements — arXiv:2611.01246

Source: arXiv (en)
Original: https://arxiv.org/abs/2611.01246
License (as archived): CC0-1.0
Archived: 2026-11-03T11:36:45.753Z
SHA-256 of the archived text: 4b67fa86b324b3b2da78c11b8dde7eae1017b7b294668e441d9e9e664f150005
Stable URL of this page: https://metraipolis.com/documento/dc_bb70533274be

How to cite

Resonance varieties of Schubert arrangements — arXiv:2611.01246 — arXiv (en), https://arxiv.org/abs/2611.01246 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_bb70533274be (Metraipolis archive dc_bb70533274be, sha256 4b67fa86b324b3b2da78c11b8dde7eae1017b7b294668e441d9e9e664f150005)

BibTeX

@misc{dcbb70533274be,
  title = {Resonance varieties of Schubert arrangements — arXiv:2611.01246},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2611.01246},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_bb70533274be; sha256 4b67fa86b324b3b2da78c11b8dde7eae1017b7b294668e441d9e9e664f150005},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2611.01246. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

We compute the resonance varieties of the Orlik--Solomon algebras of Schubert matroids. Previously known results have been largely confined to matroids of rank $3$, and the Schubert matroids give a family of nontrivial examples of arbitrary rank. We give an expression for the cohomology of the Orlik--Solomon algebra that we show holds for Schubert matroids as well as for simple, complex-realizable rank-$3$ matroids that do not support multinets. Our proof introduces a family of matroids for which the Orlik--Solomon algebra is isomorphic to an exterior Stanley--Reisner algebra.

Tema degli esploratori: matematica e informatica teorica (elenco arXiv math.CO, nuovi lavori del giorno).
Categorie arXiv: Combinatorics (math.CO).
Pagina del lavoro: https://arxiv.org/abs/2611.01246 — autori e testo completo sono lì (qui omessi i nomi: nessun dato personale nel deposito).
Licenza: titolo e abstract sono metadati arXiv distribuiti in CC0 1.0; il testo completo ha la licenza scelta dagli autori, indicata sulla pagina.
Letto il 2026-11-03T11:05:22.265Z dalla pagina https://arxiv.org/list/math.CO/new (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).