{
  "annotation_id": "6e75ba64-49ac-4371-b065-8e37c72dfc93",
  "date_created": "2026-02-17T05:53:12.433000Z",
  "date_modified": "2026-02-17T05:53:12.433000Z",
  "file_hash": "5ce3eba701aa431c54684b37310902b655e6ae49a0d3d976f70b99f219a560bf",
  "private": false,
  "record": {
    "abstract": "This paper studies irregularity-type invariants of special C-pairs, or \"geometric orbifolds\" in the sense of Campana. Under mild assumptions on the singularities, we show that the augmented irregularity of a C-pair (X,D) is bounded by its dimension. This generalizes earlier results of Campana, and strengthens known results even in the classic case where X is a projective manifold and D = 0. The proof builds on new extension results for adapted forms, analysis of foliations on Albanese varieties, and constructions of Bogomolov sheaves using strict wedge subspaces of adapted forms.",
    "arxiv_id": "2601.07318",
    "authors": [
      "Stefan Kebekus",
      "Erwan Rousseau",
      "Fr\u00e9d\u00e9ric Touzet"
    ],
    "categories": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "title": "Irregularities of special C-pairs",
    "url": "https://arxiv.org/abs/2601.07318",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "bd07089a-d909-4e95-89ec-073cf63dde12",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}