{
  "id": "2106.13072",
  "version": "v1",
  "published": "2021-06-24T14:57:43.000Z",
  "updated": "2021-06-24T14:57:43.000Z",
  "title": "Arithmetic and topology of classical structures associated to plane quartics",
  "authors": [
    "Olof Bergvall"
  ],
  "comment": "21 pages, 2 figures, 5 tables. Comments are welcome!",
  "categories": [
    "math.AG",
    "math.AT",
    "math.NT"
  ],
  "abstract": "We consider moduli spaces of plane quartics marked with various structures such as Cayley octads, Aronhold heptads, Steiner complexes and G\\\"opel subsets and determine their cohomology. This answers a series of questions of Jesse Wolfson. We also explore some arithmetic applications over finite fields.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-06-24T14:57:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14H10",
      "14D22",
      "14D10",
      "11G20",
      "11G25"
    ],
    "keywords": [
      "plane quartics",
      "classical structures",
      "cayley octads",
      "aronhold heptads",
      "finite fields"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}