{
  "abstract": "The supermoduli stack ${\\mathfrak M}_g$, parametrizing smooth unpunctured super Riemann surfaces of genus $g$, is known to be non-projected for $g \\ge 5$. We extend this result to the even-spin component of ${\\mathfrak M}_4$. This is done by exhibiting an appropriate compact curve in the spin moduli space ${\\mathcal S\\mathcal M}_4^{+}$, and computing the restriction to it of the class obstructing the projectedness of ${\\mathfrak M}_4^{+}$. This restriction turns out to be non-zero, proving that ${\\mathfrak M}_4^{+}$ is non-projected.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.24996",
  "author_total": 2,
  "authors": [
    {
      "name": "Ron Donagi"
    },
    {
      "name": "Simone Noja"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/4pa1csmnnqwef.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.24996",
  "fulltext_url": null,
  "id": "4pa1csmnnqwef",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.24996",
  "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",
      "hep-th"
    ],
    [
      "arxiv",
      "math-ph"
    ],
    [
      "arxiv",
      "math.AG"
    ],
    [
      "arxiv",
      "math.MP"
    ],
    [
      "openalex",
      "2608|Algebraic Geometry and Number Theory"
    ]
  ],
  "openalex": "W7204473242",
  "pdf_url": "https://arxiv.org/pdf/2608.24996",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-14",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/4pa1csmnnqwef.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:21:41Z",
      "native_id": "2608.24996",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.24996"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AG",
      "subfield": "algebra-number-theory"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "Genus 4 Supermoduli Space Is Not Projected",
  "title_text": "Genus 4 Supermoduli Space Is Not Projected",
  "type": "preprint",
  "updated_at": "2026-10-30T12:21:45Z",
  "url": "https://research.draconitic.com/paper/4pa1csmnnqwef",
  "venue": "arXiv",
  "versions": []
}