{
  "abstract": "We prove that for a supersingular irreducible symplectic variety admitting suitable lifting to characteristic zero has Tate Chow motive if it is of deformation type K3 [n] , OG6 (with Artin invariant ̸ = 4), or OG10 (with Artin invariant ̸ = 12), and has supersingular abelian Chow motive if it is of Kum n -type (with Artin invariant ̸ = 3). In particular, any product of those irreducible symplectic varieties satisfies the supersingular Tate conjecture for the whole ℓ-adic or crystalline cohomology ring.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.38801",
  "author_total": 3,
  "authors": [
    {
      "name": "Lie Fu"
    },
    {
      "name": "Xuanlin Huang"
    },
    {
      "name": "Zhiyuan Li"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/8ez4v8rxt88js.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.38801",
  "fulltext_url": null,
  "id": "8ez4v8rxt88js",
  "issns": [],
  "landing_url": "https://hal.science/hal-05783404v1",
  "language": "en",
  "licence": "CC-BY-NC-ND-4.0",
  "licence_label": "CC BY-NC-ND 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by-nc-nd/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.AG"
    ],
    [
      "hal",
      "0.math"
    ],
    [
      "openalex",
      "2608|Algebraic Geometry and Number Theory"
    ]
  ],
  "openalex": "W7215053327",
  "pdf_url": "https://hal.science/hal-05783404/document",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-30",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/8ez4v8rxt88js.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:50Z",
      "native_id": "hal-05783404",
      "source": "hal",
      "url": "https://hal.science/hal-05783404v1"
    },
    {
      "first_seen": "2026-10-30T12:34:08Z",
      "native_id": "2609.38801",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.38801"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AG",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "SUPERSINGULAR TATE CONJECTURE FOR IRREDUCIBLE SYMPLECTIC VARIETIES OF KNOWN TYPES: I",
  "title_text": "SUPERSINGULAR TATE CONJECTURE FOR IRREDUCIBLE SYMPLECTIC VARIETIES OF KNOWN TYPES: I",
  "type": "preprint",
  "updated_at": "2026-10-30T12:34:08Z",
  "url": "https://research.draconitic.com/paper/8ez4v8rxt88js",
  "venue": "HAL",
  "versions": []
}