Vasily Bolbachan

collaborators

3 papers

math.AG2025

On Goncharov's conjecture in next to Milnor degree

Vasily Bolbachan

Let $K$ be a field of characteristic zero. We prove that its motivic cohomology in degree $m - 1$ and weight $m$ is rationally isomorphic to the cohomology of the polylogarit…

math.AG2025

On functional equations for Chow polylogarithms

Vasily Bolbachan

Chow polylogarithms are some special functions arising in explicit description of the Beilinson regulator map. The most interesting functional equation for this function reflects i…

math.AG2024

Higher Chow groups and not necessarily admissible cycles

Vasily Bolbachan

We construct some analog of cubical Bloch's higher Chow groups. Instead of considering cycles in $X \times A^{n}$ we consider varieties $Y$ over $X$ together with a distinguish…