{
  "annotation_id": "586f34d1-38d5-460e-97b5-5a33a4104c3c",
  "date_created": "2026-02-17T05:53:15.895000Z",
  "date_modified": "2026-02-17T05:53:15.895000Z",
  "file_hash": "af72cc9350089a20892a44aaaed15e477779ef60f12ec9836598ea7d3769f805",
  "private": false,
  "record": {
    "abstract": "We study the behavior of slope-stability of reflexive twisted sheaves over a normal projective variety $X$ under pullback along a cover. Slope-stability is always preserved if the cover does not factor via a quasi-\\\u0027etale cover. Fixing the rank, there is one quasi-\\\u0027etale cover that checks whether a twisted sheaf remains slope-stable on all Galois covers, yielding a stratification of the moduli space of slope-stable Higgs-bundles. As an application, we determine the image of the Hitchin morphism restricted to the smallest closed stratum of the Dolbeault moduli space when $X$ is smooth. This allows us to determine the image of the Hitchin morphism from the Dolbeault moduli space when $X$ is a hyperelliptic or abelian variety in characteristic $p\\ge0$. In particular, we show that Chen-Ng\\^o\u0027s conjecture holds for hyperelliptic varieties in characteristic $0$.",
    "arxiv_id": "2601.08597",
    "authors": [
      "Aryaman Patel",
      "Dario Weissmann"
    ],
    "categories": [
      "math.AG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "title": "Stratifying moduli spaces of Higgs bundles and the Hitchin morphism",
    "url": "https://arxiv.org/abs/2601.08597",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "f182657d-d033-430e-8aa4-ebcb67364741",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}