{
  "abstract": "In this paper, we study the Chow group of zero-cycles $\\text{CH}_0(S)$ for certain Enriques quotients $S$ of the Kummer surface associated to the product of two geometrically non-isogenous elliptic curves $E_1$ and $E_2$. We show that over fields of characteristic different from $2$ or $3$, the degree-zero subgroup $A_0(S) \\subset \\text{CH}_0(S)$ is 16-torsion. Over p-adic fields, we compute the transcendental Brauer group $\\text{Br}(S)/\\text{Br}_1(S)$. Using the Brauer-Manin pairing, we construct examples of Enriques surfaces for which $A_0(S)$ attains nontrivial 2-torsion elements arising from push-forward from the abelian surface $E_1\\times E_2$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.19307",
  "author_total": 1,
  "authors": [
    {
      "name": "Thomas Jaklitsch"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/1cs26dxex5xnt.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.19307",
  "fulltext_url": null,
  "id": "1cs26dxex5xnt",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.19307",
  "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.NT"
    ],
    [
      "openalex",
      "2608|Algebraic Geometry and Number Theory"
    ]
  ],
  "openalex": "W7221875497",
  "pdf_url": "https://arxiv.org/pdf/2610.19307",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-13",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/1cs26dxex5xnt.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:35Z",
      "native_id": "2610.19307",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.19307"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.NT",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Zero-cycles and Brauer groups on certain Enriques surfaces",
  "title_text": "Zero-cycles and Brauer groups on certain Enriques surfaces",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:35Z",
  "url": "https://research.draconitic.com/paper/1cs26dxex5xnt",
  "venue": "arXiv",
  "versions": []
}