{
  "abstract": "We prove Gamma conjectures I and II of Galkin, Golyshev and Iritani for Milnor hypersurfaces, the smooth hypersurfaces of bidegree $(1,1)$ in the product of two projective spaces. We provide a criterion for Gamma conjecture II for general Fano manifolds, generalizing the criterion by Hu and Ke. Using the mirror symmetry technique of Galkin and Iritani, we establish global Gamma-I for Milnor hypersurfaces, thereby proving Gamma conjecture I as a special case. Using it, together with the Galois action and our criterion, we verify Gamma conjecture II for Milnor hypersurfaces.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.31150",
  "author_total": 4,
  "authors": [
    {
      "name": "Jianxun Hu"
    },
    {
      "name": "Hua-Zhong Ke"
    },
    {
      "name": "Changzheng Li"
    },
    {
      "name": "Jiayu Song"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/4mwsfkce6xjmh.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.31150",
  "fulltext_url": null,
  "id": "4mwsfkce6xjmh",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.31150",
  "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": "W7223411572",
  "pdf_url": "https://arxiv.org/pdf/2610.31150",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-22",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/4mwsfkce6xjmh.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:34:38Z",
      "native_id": "2610.31150",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.31150"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AG",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Gamma conjectures for Milnor hypersurfaces",
  "title_text": "Gamma conjectures for Milnor hypersurfaces",
  "type": "preprint",
  "updated_at": "2026-10-30T12:34:38Z",
  "url": "https://research.draconitic.com/paper/4mwsfkce6xjmh",
  "venue": "arXiv",
  "versions": []
}