{
  "id": "2408.01907",
  "version": "v1",
  "published": "2024-08-04T02:43:10.000Z",
  "updated": "2024-08-04T02:43:10.000Z",
  "title": "Remarks on the Griffiths infinitesimal invariant of algebraic curves",
  "authors": [
    "Haohua Deng"
  ],
  "comment": "19 pages",
  "categories": [
    "math.AG",
    "math.DG"
  ],
  "abstract": "We study two canonically defined admissible normal functions on the moduli space of smooth genus 4 algebraic curves including the Ceresa normal function. In particular, we study the vanishing criteria for the Griffiths infinitesimal invariants of both normal functions over a specific family of curves.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-08-04T02:43:10.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14H10",
      "14H45",
      "14D07"
    ],
    "keywords": [
      "griffiths infinitesimal invariant",
      "algebraic curves",
      "ceresa normal function",
      "moduli space",
      "smooth genus"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}