{
  "abstract": "In [B2] Balmer introduced the homological spectrum of a rigid tensor-triangulated category, and had the ``nerves of steel'' not to conjecture that it was in bijection with the prime spectrum, despite an ``avalanche of examples''. Naturally, the statement came to be known as Balmer's Nerves of Steel Conjecture. More recently, in [NVY] the conjecture was stated explicitly and extended to a more general non-symmetric context. In this paper we provide a counterexample to the original suggestion in [B2], so also to the conjecture from [NVY]. A first counterexample was recently constructed in [BHR].",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.03489",
  "author_total": 1,
  "authors": [
    {
      "name": "Kevin Coulembier"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/c7pm053wqd2hb.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.03489",
  "fulltext_url": null,
  "id": "c7pm053wqd2hb",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.03489",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.CT"
    ],
    [
      "openalex",
      "2608|Algebraic structures and combinatorial models"
    ]
  ],
  "openalex": "W7208747814",
  "pdf_url": "https://arxiv.org/pdf/2609.03489",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-03",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/c7pm053wqd2hb.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:36Z",
      "native_id": "2609.03489",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.03489"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CT",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Another counterexample to the Nerves of Steel Conjecture",
  "title_text": "Another counterexample to the Nerves of Steel Conjecture",
  "type": "preprint",
  "updated_at": "2026-10-30T12:18:36Z",
  "url": "https://research.draconitic.com/paper/c7pm053wqd2hb",
  "venue": "arXiv",
  "versions": []
}