{
  "annotation_id": "cd243fc0-56ce-4b70-bf7d-a7da636325c8",
  "date_created": "2026-02-17T05:53:12.526000Z",
  "date_modified": "2026-02-17T05:53:12.526000Z",
  "file_hash": "383f0b8ff457bbf1364477e26e15153fb82ad3a46de92962ab640ae22347b715",
  "private": false,
  "record": {
    "abstract": "The purpose of this note is to show that, in contrast to the ${\\Bbb F}_p$-case (proven in [7]), the $p$-primary and $p$-adic cases of the Isotropy Conjecture, claiming that the isotropic Chow groups with ${\\Bbb Z}/p^r$, $r\u003e1$, respectively, with ${\\Bbb Z}_p$-coefficients over a flexible field coincide with the numerical ones, don\u0027t hold. We show that the $BP$-theory with $I(\\infty)$-primary, respectively, $I(\\infty)$-adic coefficients may serve as a regular substitute for $p$-primary, respectively, $p$-adic Chow groups, which permits to extend the results of [6] to arbitrary primes.",
    "arxiv_id": "2601.07947",
    "authors": [
      "Alexander Vishik"
    ],
    "categories": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "title": "On the $p$-primary and $p$-adic cases of the Isotropy Conjecture",
    "url": "https://arxiv.org/abs/2601.07947",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "6c602974-7fda-4837-86c0-ed187edbd639",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}