{
  "abstract": "In this paper we present an application of Gessel and Viennot's result on binomial determinants [GV85]. We prove that the space of arcs C∞ of the normalization C of a curve C is the normalization of its space of arcs with the reduced structure. We prove this result first when C is a monomial curve, and then when C is the formal neighborhood at a closed point of an affine curve over an algebraically closed field of characteristic zero.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": null,
  "author_total": 2,
  "authors": [
    {
      "name": "Ana J. Reguera"
    },
    {
      "name": "Miguel Valderrama"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/02mcw4cgpqmgy.bib",
  "cited_by": 0,
  "doi": null,
  "fulltext_url": null,
  "id": "02mcw4cgpqmgy",
  "issns": [],
  "landing_url": "https://hal.science/hal-05733810v1",
  "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": null,
  "native_subjects": [
    [
      "hal",
      "0.math"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://hal.science/hal-05733810/document",
  "pmcid": null,
  "pmid": null,
  "published": "2026-05-24",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/02mcw4cgpqmgy.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:24Z",
      "native_id": "hal-05733810",
      "source": "hal",
      "url": "https://hal.science/hal-05733810v1"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "hal:0.math",
      "subfield": "general"
    }
  ],
  "title": "AN APPLICATION OF BINOMIAL DETERMINANTS TO THE SPACE OF ARCS",
  "title_text": "AN APPLICATION OF BINOMIAL DETERMINANTS TO THE SPACE OF ARCS",
  "type": "preprint",
  "updated_at": "2026-10-30T12:17:24Z",
  "url": "https://research.draconitic.com/paper/02mcw4cgpqmgy",
  "venue": "HAL",
  "versions": []
}