{
  "abstract": "We introduce a new geometric construction of Prym--Tyurin varieties of odd prime exponent $p$ arising from intermediate coverings of $\\mathbb Z_p\\times\\mathbb Z_p$--Galois covers of smooth curves. We determine precisely when these coverings give rise to Prym--Tyurin varieties, namely when the base curve is elliptic and in the case of isotropic étale covers over curves of genus $2$. The explicit nature of the construction makes it possible to analyze the geometry of the associated Prym--Tyurin varieties and to prove that the corresponding Prym--Tyurin maps, indexed by the choice of a generating vector, are generically finite onto their images.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.04298",
  "author_total": 1,
  "authors": [
    {
      "name": "Víctor Valdebenito Sepúlveda"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/34m7zfzhzpe7e.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.04298",
  "fulltext_url": null,
  "id": "34m7zfzhzpe7e",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.04298",
  "language": null,
  "licence": "CC-BY-NC-SA-4.0",
  "licence_label": "CC BY-NC-SA 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.AG"
    ],
    [
      "openalex",
      "2608|Algebraic Geometry and Number Theory"
    ]
  ],
  "openalex": "W7196951982",
  "pdf_url": "https://arxiv.org/pdf/2608.04298",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-04",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/34m7zfzhzpe7e.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:19:18Z",
      "native_id": "2608.04298",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.04298"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AG",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Prym--Tyurin varieties coming from intermediate coverings of curves",
  "title_text": "Prym--Tyurin varieties coming from intermediate coverings of curves",
  "type": "preprint",
  "updated_at": "2026-10-30T12:19:18Z",
  "url": "https://research.draconitic.com/paper/34m7zfzhzpe7e",
  "venue": "arXiv",
  "versions": []
}