{
  "id": "0908.2410",
  "version": "v1",
  "published": "2009-08-17T18:35:17.000Z",
  "updated": "2009-08-17T18:35:17.000Z",
  "title": "Generalization of a Max Noether's Theorem",
  "authors": [
    "Renato Vidal Martins"
  ],
  "categories": [
    "math.AG",
    "math.AP"
  ],
  "abstract": "Max Noether's Theorem asserts that if $\\ww$ is the dualizing sheaf of a nonsingular nonhyperelliptic projective curve then the natural morphisms $\\text{Sym}^nH^0(\\omega)\\to H^0(\\omega^n)$ are surjective for all $n\\geq 1$. This is true for Gorenstein nonhyperelliptic curves as well. We prove this remains true for nearly Gorenstein curves and for all integral nonhyperelliptic curves whose non-Gorenstein points are unibranch. The results are independent and have different proofs. The first one is extrinsic, the second intrinsic.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-08-17T18:35:17.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14H20"
    ],
    "keywords": [
      "generalization",
      "max noethers theorem asserts",
      "nonsingular nonhyperelliptic projective curve",
      "gorenstein nonhyperelliptic curves",
      "integral nonhyperelliptic curves"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0908.2410V"
    }
  }
}