dorsal/arxiv
View SchemaOn the numerical triviality of $BP$-cycles
| Authors | Alexander Vishik |
|---|---|
| Categories | |
| ArXiv ID | 2601.07955vv1 |
| URL | https://arxiv.org/abs/2601.07955 |
| License | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
Abstract
We show that, in the case of a prime $2$, the numerical triviality of $BP$-cycles modulo various powers of the (augmentation) invariant ideal $I(\infty)$ is controlled by pure symbols in $K^M_*/2$ over the flexible closure of the base field.
{
"annotation_id": "92cc34f4-b3c1-49cb-be05-e81d5b2dea10",
"date_created": "2026-02-17T05:53:11.996000Z",
"date_modified": "2026-02-17T05:53:11.996000Z",
"file_hash": "d42724cff71d092e587e52d37b7b1e4d594ba27fe88f1b99fd7498ffd9e61fa7",
"private": false,
"record": {
"abstract": "We show that, in the case of a prime $2$, the numerical triviality of $BP$-cycles modulo various powers of the (augmentation) invariant ideal $I(\\infty)$ is controlled by pure symbols in $K^M_*/2$ over the flexible closure of the base field.",
"arxiv_id": "2601.07955",
"authors": [
"Alexander Vishik"
],
"categories": [
"math.AG"
],
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
"title": "On the numerical triviality of $BP$-cycles",
"url": "https://arxiv.org/abs/2601.07955",
"version": "v1"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "b7bdd6da-42aa-4074-8da9-f8f3b599c6d2",
"id": "arXiv Dataset",
"type": "Model",
"variant": "snapshot-2026-01-17",
"version": "0.1.0"
},
"user_id": 1000002
}