{
  "abstract": "We study how the topology and geometry of a compact Kähler manifold relate to the zeros of its one-forms. We determine all implications among several closely related conditions. In particular, we construct a smooth projective variety for which the Aomoto complex is exact for every nonzero holomorphic one-form and every semisimple local system, although every closed real one-form, and hence every holomorphic one-form, has a zero.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.04314",
  "author_total": 4,
  "authors": [
    {
      "name": "Maurício Corrêa"
    },
    {
      "name": "János Kollár"
    },
    {
      "name": "Stefan Schreieder"
    },
    {
      "name": "Botong Wang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/at97n8mbcbkfk.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.04314",
  "fulltext_url": null,
  "id": "at97n8mbcbkfk",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.04314",
  "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.AG"
    ],
    [
      "arxiv",
      "math.AT"
    ],
    [
      "arxiv",
      "math.CV"
    ],
    [
      "openalex",
      "2608|Geometry and complex manifolds"
    ]
  ],
  "openalex": "W7220684373",
  "pdf_url": "https://arxiv.org/pdf/2610.04314",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-03",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/at97n8mbcbkfk.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:10Z",
      "native_id": "2610.04314",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.04314"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AG",
      "subfield": "algebra-number-theory"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.CV",
      "subfield": "analysis-pdes"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.AT",
      "subfield": "geometry-topology"
    }
  ],
  "title": "The topology of Kähler manifolds and 1-forms without zeros",
  "title_text": "The topology of Kähler manifolds and 1-forms without zeros",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:10Z",
  "url": "https://research.draconitic.com/paper/at97n8mbcbkfk",
  "venue": "arXiv",
  "versions": []
}