{
  "annotation_id": "a1ae1d38-f025-4a4a-8b15-79530c49d59e",
  "date_created": "2026-02-17T05:53:07.776000Z",
  "date_modified": "2026-02-17T05:53:07.776000Z",
  "file_hash": "2bba3f6be5e2c178faa64a51540be9ebb0e3839eb25600bc0a9131b32c7de5a5",
  "private": false,
  "record": {
    "abstract": "We consider $C$-pseudo-cones, that is, closed convex sets $K \\subset{\\mathbb R}^n$ with $o\\notin K\\subset C$, for which $C$ is the recession cone. Here $C$ is a given closed convex cone in ${\\mathbb R}^n$, pointed and with nonempty interior. We define a class of measures for such pseudo-cones and show how they can be interpreted as derivative measures. For a subclass of these measures, namely for dual curvature measures with negative indices, we solve a Minkowski type existence problem.",
    "arxiv_id": "2601.06594",
    "authors": [
      "Rolf Schneider"
    ],
    "categories": [
      "math.MG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "title": "Radial measures of pseudo-cones",
    "url": "https://arxiv.org/abs/2601.06594",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "233aece0-5ede-44fb-9111-cf32a0d845f6",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}