{
  "abstract": "Let $A$ be a string algebra. We identify its Gorenstein-projective support $τ$-tilting pairs with a distinguished class of maximal good collections and give a finite compatibility graph for them. Under the G-condition, we construct an explicit labelled tiled-surface model for $\\mathrm{End}_A(T)$ for every nonzero basic Gorenstein-projective module $T$. Under the same condition, we show that $A$ is representation-finite if and only if $\\End_A(T)$ is representation-finite for every basic Gorenstein-projective module $T$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.00937",
  "author_total": 2,
  "authors": [
    {
      "name": "Yu-Zhe Liu"
    },
    {
      "name": "Zheng Xin"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/7pkf2zbgnbz8w.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.00937",
  "fulltext_url": null,
  "id": "7pkf2zbgnbz8w",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.00937",
  "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.RA"
    ],
    [
      "arxiv",
      "math.RT"
    ],
    [
      "openalex",
      "2608|Algebraic structures and combinatorial models"
    ]
  ],
  "openalex": "W7216120878",
  "pdf_url": "https://arxiv.org/pdf/2610.00937",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/7pkf2zbgnbz8w.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:26:07Z",
      "native_id": "2610.00937",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.00937"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.RA",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Endomorphism algebras of Gorenstein-projective modules over string algebras",
  "title_text": "Endomorphism algebras of Gorenstein-projective modules over string algebras",
  "type": "preprint",
  "updated_at": "2026-10-30T12:26:07Z",
  "url": "https://research.draconitic.com/paper/7pkf2zbgnbz8w",
  "venue": "arXiv",
  "versions": []
}