{
  "id": "2308.03155",
  "version": "v1",
  "published": "2023-08-06T16:19:14.000Z",
  "updated": "2023-08-06T16:19:14.000Z",
  "title": "Applications of perverse sheaves in commutative algebra",
  "authors": [
    "Bhargav Bhatt",
    "Manuel Blickle",
    "Gennady Lyubeznik",
    "Anurag K. Singh",
    "Wenliang Zhang"
  ],
  "comment": "Comments welcome",
  "categories": [
    "math.AG",
    "math.AC"
  ],
  "abstract": "The goal of this paper is to explain how basic properties of perverse sheaves sometimes translate via Riemann-Hilbert correspondences (in both characteristic $0$ and characteristic $p$) to highly non-trivial properties of singularities, especially their local cohomology. Along the way, we develop a theory of perverse $\\mathbf{F}_p$-sheaves on varieties in characteristic $p$, expanding on previous work by various authors, and including a strong version of the Artin vanishing theorem.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-08-06T16:19:14.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "perverse sheaves",
      "commutative algebra",
      "applications",
      "characteristic",
      "artin vanishing theorem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}