Varieties and pure symbols
Algebraic Geometry
2025-09-03 v1 Algebraic Topology
K-Theory and Homology
Abstract
In this article, we prove that the 2-isotropy of any projective variety is controlled by a pure symbol in the Milnor's K-theory (mod 2) of the flexible closure of the base field. We also show that such pure symbols control the 2-equivalence of field extensions as well as the numerical equivalence of algebraic cycles (with mod 2 coefficients).
Cite
@article{arxiv.2509.00592,
title = {Varieties and pure symbols},
author = {Alexander Vishik},
journal= {arXiv preprint arXiv:2509.00592},
year = {2025}
}
Comments
8 pages