{
  "id": "math/0212276",
  "version": "v3",
  "published": "2002-12-19T18:39:48.000Z",
  "updated": "2003-04-13T17:54:54.000Z",
  "title": "Cohomology of G-sheaves in positive characteristic",
  "authors": [
    "Niels Borne"
  ],
  "comment": "42 pages, two applications to Galois covers of curves in positive characteristic added, see the introduction. Definition 7.24 corrected",
  "categories": [
    "math.NT",
    "math.AG"
  ],
  "abstract": "Let X be a noetherian scheme defined over an algebraically closed field of positive characteristic p, and G be a finite group, of order divisible by p, acting on X. We introduce a refinement of the equivariant K-theory of X to take into account the information related to modular representation theory. As an application, in the 1-dimensional case, we generalize a modular Riemann-Roch theorem given by S.Nakajima, extending the link between Galois modules and wild ramification.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2003-04-13T17:54:54.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "19E08"
    ],
    "keywords": [
      "positive characteristic",
      "cohomology",
      "modular representation theory",
      "modular riemann-roch theorem",
      "wild ramification"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 42,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math.....12276B"
    }
  }
}