{
  "id": "2406.03926",
  "version": "v1",
  "published": "2024-06-06T10:08:31.000Z",
  "updated": "2024-06-06T10:08:31.000Z",
  "title": "Equivariant vector bundles over the complex projective line",
  "authors": [
    "Indranil Biswas",
    "Francois-Xavier Machu"
  ],
  "comment": "Final version. To appear in \"Bollettino dell'Unione Matematica Italiana (BUMI).\"",
  "categories": [
    "math.AG"
  ],
  "abstract": "Let $G$ be a finite abelian group acting faithfully on ${\\mathbb C}{\\mathbb P}^1$ via holomorphic automorphisms. In \\cite{DF2} the $G$--equivariant algebraic vector bundles on $G$--invariant affine open subsets of ${\\mathbb C}{\\mathbb P}^1$ were classified. We classify the $G$--equivariant algebraic vector bundles on ${\\mathbb C}{\\mathbb P}^1$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-06-06T10:08:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14H60",
      "14F06",
      "14L30"
    ],
    "keywords": [
      "equivariant vector bundles",
      "complex projective line",
      "equivariant algebraic vector bundles",
      "abelian group acting",
      "invariant affine open subsets"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}