{
  "abstract": "For every \\(n\\geq2\\), we prove that the complement in \\(\\C^n\\) of a periodic closed set with compact holomorphically convex quotient in \\((\\C^*)^n\\) is Oka. The proof combines periodic divergence-free transport with Fatou--Bieberbach basins. Applications include complements of convex tubes \\(\\R^n+\\ii B\\), products of closed annuli, and, more generally, products of planar compact sets whose complements have at most one bounded component. In particular, \\(\\C^2\\setminus\\R^2\\) is Oka.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.28089",
  "author_total": 4,
  "authors": [
    {
      "name": "Yun-Heng Du"
    },
    {
      "name": "Bin Guo"
    },
    {
      "name": "Peng-Chao Wang"
    },
    {
      "name": "Song-Yan Xie"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/8bm5xft3hs8ec.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.28089",
  "fulltext_url": null,
  "id": "8bm5xft3hs8ec",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.28089",
  "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.CV"
    ],
    [
      "openalex",
      "2604|Holomorphic and Operator Theory"
    ]
  ],
  "openalex": "W7214237809",
  "pdf_url": "https://arxiv.org/pdf/2609.28089",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-30",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/8bm5xft3hs8ec.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:25:49Z",
      "native_id": "2609.28089",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.28089"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CV",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Periodic transport and Oka complements in \\(\\C^n\\)",
  "title_text": "Periodic transport and Oka complements in C^n",
  "type": "preprint",
  "updated_at": "2026-10-30T12:25:49Z",
  "url": "https://research.draconitic.com/paper/8bm5xft3hs8ec",
  "venue": "arXiv",
  "versions": []
}