{
  "annotation_id": "69257123-a6f1-4300-9fb9-b5fb8e6f9c91",
  "date_created": "2026-03-02T18:01:28.848000Z",
  "date_modified": "2026-03-02T18:01:28.848000Z",
  "file_hash": "6c9a6a270061089a3f9d9784ee67862c1f3a80347d0760ce54b0d146bba153fa",
  "private": false,
  "record": {
    "abstract": "We consider the $sl(2)$ quantized Knizhnik-Zamolodchikov equation (qKZ),\ndefined in terms of rational R-matrices. The properties of the equation change\nwhen the step of the equation takes a resonance value. In this case the\ndiscrete connection defined by the qKZ equation has a invariant subbundle which\nwe call the subbundle of quantized conformal blocks. Solutions of the qKZ\nequation were constructed in [TV1], [MV1] in terms of multidimensional\nhypergeometric integrals. In this paper we show that for a resonance step all\nhypergeometric solutions take values in the subbundle of quantized conformal\nblocks, moreover the values span the subbundle of quantized conformal blocks\nunder certain conditions. We describe the space of hypergeometric solutions in\nterms of the quantum group $U_qsl(2)$.",
    "arxiv_id": "q-alg/9710040",
    "authors": [
      "E. Mukhin",
      "A. Varchenko"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "title": "On algebraic equations satisfied by hypergeometric solutions of the qKZ   equation",
    "url": "https://arxiv.org/abs/q-alg/9710040"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "293b4f42-b63f-4378-a594-b228b336ead0",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}