On the numerical triviality of $BP$-cycles

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1. Verfasser: Vishik, Alexander
Format: Preprint
Veröffentlicht: 2026
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author Vishik, Alexander
author_facet Vishik, Alexander
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2601_07955
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle On the numerical triviality of $BP$-cycles
Vishik, Alexander
Algebraic Geometry
14C15, 14C25, 19E15
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.
title On the numerical triviality of $BP$-cycles
topic Algebraic Geometry
14C15, 14C25, 19E15
url https://arxiv.org/abs/2601.07955