{
  "abstract": "Building on the work of Coskun and Ross, we investigate which cohomology classes of the orthogonal Grassmannian $OG(k,n)$ can be realized as irreducible subvarieties of $OG(k,n)$. We give a criterion for when the realizable classes in the orthogonal Grassmannian agree with those in the Grassmannian. We give a characterization for realizability in low dimension and codimension and give necessary conditions for realizability in certain orthogonal Grassmannians.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.36078",
  "author_total": 1,
  "authors": [
    {
      "name": "Naima Nader"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/c88zkvyscykhg.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.36078",
  "fulltext_url": null,
  "id": "c88zkvyscykhg",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.36078",
  "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"
    ],
    [
      "openalex",
      "2608|Algebraic Geometry and Number Theory"
    ]
  ],
  "openalex": "W7214937709",
  "pdf_url": "https://arxiv.org/pdf/2609.36078",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-28",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/c88zkvyscykhg.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:25:35Z",
      "native_id": "2609.36078",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.36078"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AG",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Realizability of Cohomology Classes in Orthogonal Grassmannians",
  "title_text": "Realizability of Cohomology Classes in Orthogonal Grassmannians",
  "type": "preprint",
  "updated_at": "2026-10-30T12:25:35Z",
  "url": "https://research.draconitic.com/paper/c88zkvyscykhg",
  "venue": "arXiv",
  "versions": []
}