4 papers · 1 filter
The Balmer spectrum of Voevodsky motives and pure symbols
Alexander Vishik
In this article we introduce invariants of points of the Balmer spectrum of the Voevodsky motivic category whose values are "light Rost cycle submodules" of the module of pure symb…
Varieties and pure symbols
Alexander Vishik
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. W…
On the Balmer spectrum of the Morel-Voevodsky category
Peng Du, Alexander Vishik
We introduce the Morava-isotropic stable homotopy category and, more generally, the stable homotopy category of an extension . These "local" versions of the Morel-Voevodsky st…
Isotropic and numerical equivalence for Chow groups and Morava K-theories
Alexander Vishik
In this paper we prove the conjecture claiming that, over a flexible field, isotropic Chow groups coincide with numerical Chow groups (with -coefficients). This shows…