{
  "abstract": "We construct finite geproci sets in every projective dimension and in every positive characteristic by introducing $\\mathbb{F}_N$-Artin-Schreier configurations. In $\\mathbb{P}^3$, we characterize exactly when such configurations are geproci: an $\\mathbb{F}_N$-Artin-Schreier configuration on $q$ lines spanning $\\mathbb{P}^3$ is $(q,N)$-geproci if and only if $q\\leq N$. We then develop a lifting construction which produces geproci sets in $\\mathbb{P}^n$ for every $n\\geq 3$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.03024",
  "author_total": 7,
  "authors": [
    {
      "name": "Luca Chiantini"
    },
    {
      "name": "Lucja Farnik"
    },
    {
      "name": "Giuseppe Favacchio"
    },
    {
      "name": "Brian Harbourne"
    },
    {
      "name": "Juan Migliore"
    },
    {
      "name": "Tomasz Szemberg"
    },
    {
      "name": "Justyna Szpond"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/9zcj48yrq6m1p.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.03024",
  "fulltext_url": null,
  "id": "9zcj48yrq6m1p",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.03024",
  "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.AC"
    ],
    [
      "arxiv",
      "math.AG"
    ],
    [
      "arxiv",
      "math.CO"
    ],
    [
      "openalex",
      "2608|Algebraic Geometry and Number Theory"
    ]
  ],
  "openalex": "W7208721383",
  "pdf_url": "https://arxiv.org/pdf/2609.03024",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-02",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/9zcj48yrq6m1p.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:36Z",
      "native_id": "2609.03024",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.03024"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AC",
      "subfield": "algebra-number-theory"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.CO",
      "subfield": "combinatorics"
    }
  ],
  "title": "Artin-Schreier geproci configurations in projective spaces of arbitrary dimension",
  "title_text": "Artin-Schreier geproci configurations in projective spaces of arbitrary dimension",
  "type": "preprint",
  "updated_at": "2026-10-30T12:18:36Z",
  "url": "https://research.draconitic.com/paper/9zcj48yrq6m1p",
  "venue": "arXiv",
  "versions": []
}