{
  "abstract": "We study the moduli space of $λ$-connections with ramified singularities on a smooth projective curve $X$. We construct a quasi-projective relative moduli scheme $M^α_{\\mathrm{Hod}} \\to Λ$ of $α$-stable $λ$-connections over a base parameter space $Λ$. This moduli space connects the irregular de Rham moduli space ($λ=1$) and the irregular Dolbeault moduli space of Higgs bundles equipped with non-zero irregular local exponents ($λ=0$). Furthermore, we show that $M^α_{\\mathrm{Hod}}$ is smooth over $Λ$ and carries a canonical relative symplectic form $ω_{M^α_{\\mathrm{Hod}}/Λ}$, yielding a natural Poisson structure on the total space.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.40352",
  "author_total": 2,
  "authors": [
    {
      "name": "Michi-aki Inaba"
    },
    {
      "name": "Arata Komyo"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/cz01d7g4kyjgd.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.40352",
  "fulltext_url": null,
  "id": "cz01d7g4kyjgd",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.40352",
  "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/2610.40352",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-29",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/cz01d7g4kyjgd.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:36:32Z",
      "native_id": "2610.40352",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.40352"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AG",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Moduli space of irregular singular $λ$-connections and the relative symplectic form",
  "title_text": "Moduli space of irregular singular λ-connections and the relative symplectic form",
  "type": "preprint",
  "updated_at": "2026-11-01T12:20:51Z",
  "url": "https://research.draconitic.com/paper/cz01d7g4kyjgd",
  "venue": "arXiv",
  "versions": []
}