{
  "abstract": "We prove the existence of moduli spaces for algebraic stacks with a weak action of $Θ= [\\mathbb{A}^1/\\mathbb{G}_m]$ (including stacks of filtered objects and unstable $Θ$-strata) for which the center admits a good moduli space and the retraction to the center has flat, finitely presented relative inertia, providing a stack-intrinsic generalization of the existence of non-reductive Geometric Invariant Theory quotients. As an application, we construct quasi-projective coarse moduli spaces of principal bundles over a smooth projective curve with non-reductive structure groups, including moduli spaces of Ramanathan unstable principal bundles of fixed Harder--Narasimhan type.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.38837",
  "author_total": 2,
  "authors": [
    {
      "name": "George Cooper"
    },
    {
      "name": "Ludvig Modin"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/6v7h6epvvy17b.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.38837",
  "fulltext_url": null,
  "id": "6v7h6epvvy17b",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.38837",
  "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": null,
  "pdf_url": "https://arxiv.org/pdf/2610.38837",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-28",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/6v7h6epvvy17b.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:36:32Z",
      "native_id": "2610.38837",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.38837"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AG",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Intrinsic Non-Reductive Geometric Invariant Theory and Moduli Spaces of Principal Bundles with Non-Reductive Structure Groups",
  "title_text": "Intrinsic Non-Reductive Geometric Invariant Theory and Moduli Spaces of Principal Bundles with Non-Reductive Structure Groups",
  "type": "preprint",
  "updated_at": "2026-11-01T12:20:50Z",
  "url": "https://research.draconitic.com/paper/6v7h6epvvy17b",
  "venue": "arXiv",
  "versions": []
}