{
  "abstract": "Let $S_m^n$ be the surface obtained by blowing up $\\mathbb{P}(1,1,m)$ at $n$ general smooth points, where $m\\geq2$. For every very ample Cartier divisor $H$ on $S_m^n$, we prove that $\\mathrm{Affcone}_H(S_m^n)$ is flexible when $n\\leq m+1$. For $n=m+2$ and $n=m+3$, we prove that $\\mathrm{Affcone}_H(S_m^n)$ is generically flexible.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.02500",
  "author_total": 3,
  "authors": [
    {
      "name": "In-Kyun Kim"
    },
    {
      "name": "Dae-Won Lee"
    },
    {
      "name": "Masatomo Sawahara"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/0r3a4y3rcdg7g.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.02500",
  "fulltext_url": null,
  "id": "0r3a4y3rcdg7g",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.02500",
  "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.AG"
    ],
    [
      "openalex",
      "2608|Algebraic Geometry and Number Theory"
    ]
  ],
  "openalex": "W7207808283",
  "pdf_url": "https://arxiv.org/pdf/2609.02500",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-02",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/0r3a4y3rcdg7g.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:20Z",
      "native_id": "2609.02500",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.02500"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AG",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Flexibility of affine cones over blow-ups of weighted projective planes",
  "title_text": "Flexibility of affine cones over blow-ups of weighted projective planes",
  "type": "preprint",
  "updated_at": "2026-10-30T12:18:20Z",
  "url": "https://research.draconitic.com/paper/0r3a4y3rcdg7g",
  "venue": "arXiv",
  "versions": []
}