{
  "abstract": "This article investigates the global structure of maximal surfaces (space-like immersions with zero mean curvature) in Lorentz-Minkowski $3$-space $\\mathbb{E}^3_1$, especially focusing on the interplay between genus, the number of singular components--loci, and simple ends. We construct complete maximal maps with arbitrarily many singular components for any genus $p\\geq 0$ with simple ends.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.28793",
  "author_total": 4,
  "authors": [
    {
      "name": "Rivu Bardhan"
    },
    {
      "name": "Indranil Biswas"
    },
    {
      "name": "Pradip Kumar"
    },
    {
      "name": "Subham Paul"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/4zrysf87fws99.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.28793",
  "fulltext_url": null,
  "id": "4zrysf87fws99",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.28793",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.DG"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2608.28793",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/4zrysf87fws99.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:04Z",
      "native_id": "2608.28793",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.28793"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DG",
      "subfield": "geometry-topology"
    }
  ],
  "title": "On the complete maximal maps and their singularities",
  "title_text": "On the complete maximal maps and their singularities",
  "type": "preprint",
  "updated_at": "2026-10-30T12:18:04Z",
  "url": "https://research.draconitic.com/paper/4zrysf87fws99",
  "venue": "arXiv",
  "versions": []
}