{
  "abstract": "In this paper, we study obstructions to smoothing nodal orbicurves with orbighosts mapped into cyclic quotient singularities. As an application, we show, under some assumptions, that the orbifold Hecke algebra of a complex global quotient orbifold $[X/G]$ is isomorphic to the degree $0$ cohomology of the $A_\\infty$-algebra of endomorphisms of a regular cotangent fiber $T_{[x]}^*[X/G]$ regarded as an object of the bulk-deformed wrapped Fukaya category of the orbifold $T^*[X/G]$ for a compact complex manifold $X$ and finite group $G \\subset \\operatorname{Aut}(X)$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2607.11572",
  "author_total": 4,
  "authors": [
    {
      "name": "Ko Honda"
    },
    {
      "name": "Roman Krutowski"
    },
    {
      "name": "Yin Tian"
    },
    {
      "name": "Tianyu Yuan"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/73ne3gqxbqhxq.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2607.11572",
  "fulltext_url": null,
  "id": "73ne3gqxbqhxq",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2607.11572",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.QA"
    ],
    [
      "arxiv",
      "math.SG"
    ],
    [
      "openalex",
      "2608|Algebraic Geometry and Number Theory"
    ]
  ],
  "openalex": "W7168298011",
  "pdf_url": "https://arxiv.org/pdf/2607.11572",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-03",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/73ne3gqxbqhxq.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:10Z",
      "native_id": "2607.11572",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2607.11572"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.QA",
      "subfield": "algebra-number-theory"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.SG",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Obstructions to smoothing orbicurves and Orbifold Hecke algebras",
  "title_text": "Obstructions to smoothing orbicurves and Orbifold Hecke algebras",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:10Z",
  "url": "https://research.draconitic.com/paper/73ne3gqxbqhxq",
  "venue": "arXiv",
  "versions": []
}