{
  "abstract": "We study null geodesics in Reissner-Nordström-de Sitter spacetime and in its $ω=-2/3$ Kiselev deformation through the elliptic curves defined by the radial equation. The relation of these curves to the non-critical $E_7$ Seiberg-Witten family yields differential equations for finite-distance light deflection, and explains the boundary source term through a suitable gauge of the Seiberg-Witten differential. This geometry separates the extremal point $Q^2=M^2$ from the Argyres-Douglas point $Q^2=9M^2/8$. We also determine the Kiselev critical and horizon loci, and show that, at fixed nonzero angular momentum, the Argyres-Douglas and ultracold loci meet only at zero Killing energy.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.30730",
  "author_total": 3,
  "authors": [
    {
      "name": "Cordell Blankenship"
    },
    {
      "name": "Andreas Malmendier"
    },
    {
      "name": "Michael T. Schultz"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/641xhzb3wf31g.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.30730",
  "fulltext_url": null,
  "id": "641xhzb3wf31g",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.30730",
  "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",
      "gr-qc"
    ],
    [
      "arxiv",
      "math.AG"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2609.30730",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-25",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/641xhzb3wf31g.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:24:52Z",
      "native_id": "2609.30730",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.30730"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AG",
      "subfield": "algebra-number-theory"
    },
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    }
  ],
  "title": "Photon spheres, elliptic surfaces, and Seiberg-Witten geometry",
  "title_text": "Photon spheres, elliptic surfaces, and Seiberg-Witten geometry",
  "type": "preprint",
  "updated_at": "2026-10-30T12:24:57Z",
  "url": "https://research.draconitic.com/paper/641xhzb3wf31g",
  "venue": "arXiv",
  "versions": []
}