Isotropic and numerical equivalence for Chow groups and Morava K-theories

Vishik, Alexander

doi:10.1007/s00222-024-01267-z

All Outputs (2)

On the Balmer spectrum of the Morel-Voevodsky category (2024)
Journal Article
Du, P., & Vishik, A. (in press). On the Balmer spectrum of the Morel-Voevodsky category. Duke Mathematical Journal,

Isotropic and numerical equivalence for Chow groups and Morava K-theories (2024)
Journal Article
Vishik, A. (2024). Isotropic and numerical equivalence for Chow groups and Morava K-theories. Inventiones Mathematicae, 237(2), 779-808. https://doi.org/10.1007/s00222-024-01267-z

In this paper we prove the conjecture claiming that, over a flexible field, isotropic Chow groups coincide with numerical Chow groups (with Fp-coefficients). This shows that Isotropic Chow motives coincide with Numerical Chow motives. In particular,... Read More about Isotropic and numerical equivalence for Chow groups and Morava K-theories.