{
  "abstract": "This paper considers a general setting in which the Fukaya category of an exact symplectic manifold may be decomposed as a fiber product of Fukaya categories of smaller pieces. We establish a property of Fukaya categories that is mirror to Zariski descent of coherent sheaves. This fits into a natural strategy to prove homological mirror symmetry by a local-to-global analysis. The examples we consider in detail are open Riemann surfaces and exact log Calabi-Yau surfaces, and we provide proofs of homological mirror symmetry in these cases.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.14310",
  "author_total": 1,
  "authors": [
    {
      "name": "James Pascaleff"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/8fev8ymtqpkz3.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.14310",
  "fulltext_url": null,
  "id": "8fev8ymtqpkz3",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.14310",
  "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.SG"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.14310",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-10",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/8fev8ymtqpkz3.ris",
  "sources": [
    {
      "first_seen": "2026-11-11T06:21:55Z",
      "native_id": "2611.14310",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.14310"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.SG",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Examples of homological mirror symmetry via Zariski descent",
  "title_text": "Examples of homological mirror symmetry via Zariski descent",
  "type": "preprint",
  "updated_at": "2026-11-11T06:21:55Z",
  "url": "https://research.draconitic.com/paper/8fev8ymtqpkz3",
  "venue": "arXiv",
  "versions": []
}