{
  "annotation_id": "3ba8d054-037a-42ef-b24b-6fa61e443a43",
  "date_created": "2026-02-17T05:53:11.626000Z",
  "date_modified": "2026-02-17T05:53:11.626000Z",
  "file_hash": "a3055ddbfab7f9f21c618edf044b691352834e148a678ae0b0331cd7ab892e21",
  "private": false,
  "record": {
    "abstract": "In previous works, the second author defined directional Robin constants associated to a compact, nonpolar subset $K$ of an algebraic curve $A$ in $\\mathbb{C}^N$ and related these to a natural class of Chebyshev constants for $K$. We define a second class of Chebyshev constants for $K$; relate these two classes; and utilize each of them to define two families of extremal-like functions which can be used to recover the Siciak-Zaharjuta extremal function for $K$.",
    "arxiv_id": "2601.07639",
    "authors": [
      "Norm Levenberg",
      "Sione Ma\u0027u"
    ],
    "categories": [
      "math.CV"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "title": "Pluripotential theory on algebraic curves",
    "url": "https://arxiv.org/abs/2601.07639",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "6d89b6d9-14c2-47fc-b791-34725e20663d",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}