{
  "id": "2204.10352",
  "version": "v1",
  "published": "2022-04-21T18:16:49.000Z",
  "updated": "2022-04-21T18:16:49.000Z",
  "title": "Ramification and Discriminants of Vector Bundles and a Quick Proof of Bogomolov's Theorem",
  "authors": [
    "Hirotachi Abo",
    "Robert Lazarsfeld",
    "Gregory G. Smith"
  ],
  "comment": "12 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "By analyzing degeneracy loci over projectivized vector bundles, we recompute the degree of the discriminant locus of a vector bundle and provide a new proof of the Bogomolov instability theorem.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-04-21T18:16:49.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14J60",
      "14C17",
      "14N05"
    ],
    "keywords": [
      "quick proof",
      "bogomolovs theorem",
      "ramification",
      "bogomolov instability theorem",
      "analyzing degeneracy loci"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}