{
  "abstract": "Let $H_n$ be the one-dimensional Honda formal group of height $n$ over $\\mathbf F_{p^n}$ and let \\[ R_n=W(\\mathbf F_{p^n})[[u_1,\\ldots,u_{n-1}]],\\qquad A_n=R_n/(p). \\] We prove, for every height $n$ and every prime $p$, that the prime ideals of $A_n$ stable under an open subgroup of the Morava stabilizer group are exactly the height ideals $(u_1,\\ldots,u_j)$. We also prove that a stable prime of $R_n$ avoiding $p$ is zero. The resulting radical-ideal classification implies the Hovey-Strickland classification of thick tensor ideals in the category of dualizable $K(n)$-local spectra via the forward implication of Barthel-Heard-Naumann. The special-fiber argument is local and geometric. After cutting an invariant prime by a one-parameter curve, we construct from the Cartier structure equation a smooth formal quotient $\\mathcal{Q}$ and a distinguished subgroup $\\mathcal{H}$. The generic fiber of $\\mathcal{H}$ is identified with the deformation space of connected-étale extensions. A Cartier obstruction map from the full Honda endomorphism order is compared with evaluation on Tate vectors through completed universal covers. Fargues-Fontaine vector bundles give a period-detection statement. Chai's rigidity theorem then promotes detection by homomorphisms to formal Zariski density after a renormalization of the valuation. A uniform fixed-jet argument transfers this density to Morava-stabilizer orbits. The generic-fiber assertion is proved separately from the Gross-Hopkins period map.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.10072",
  "author_total": 1,
  "authors": [
    {
      "name": "Chenglong Ma"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/5ryk6sed6sprk.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.10072",
  "fulltext_url": null,
  "id": "5ryk6sed6sprk",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.10072",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.AT"
    ],
    [
      "arxiv",
      "math.NT"
    ],
    [
      "openalex",
      "2610|Homotopy and Cohomology in Algebraic Topology"
    ]
  ],
  "openalex": "W7221049312",
  "pdf_url": "https://arxiv.org/pdf/2610.10072",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-07",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/5ryk6sed6sprk.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:42Z",
      "native_id": "2610.10072",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.10072"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.NT",
      "subfield": "algebra-number-theory"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.AT",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Invariant Primes in Lubin-Tate Space and Hovey-Strickland at Every Height",
  "title_text": "Invariant Primes in Lubin-Tate Space and Hovey-Strickland at Every Height",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:42Z",
  "url": "https://research.draconitic.com/paper/5ryk6sed6sprk",
  "venue": "arXiv",
  "versions": []
}