{
  "annotation_id": "84baeb6e-c351-4b20-8f27-4175e19fed45",
  "date_created": "2026-02-17T05:53:08.667000Z",
  "date_modified": "2026-02-17T05:53:08.667000Z",
  "file_hash": "308e15f02d5f7f3227ed27e663b29d32731f616047dacf6ea1853330d6f157a6",
  "private": false,
  "record": {
    "abstract": "Denote by ${\\mathcal P}_{g,d}^{r,k}$ the subset of the moduli space of curves of genus g consisting of those curves that have a linear series of degree d and dimension r for which the Petri map has kernel of dimension at least k. We show the existence of codimension k components of ${\\mathcal P}_{g,d}^{r,k}$.",
    "arxiv_id": "2601.07026",
    "authors": [
      "Montserrat Teixidor I Bigas"
    ],
    "categories": [
      "math.AG"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "title": "Higher order Petri Loci",
    "url": "https://arxiv.org/abs/2601.07026",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "3b84002d-89fa-4a27-9b2f-3ac20600589b",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}