activity
20062023
most citedInvariants of degree 3 and torsion in the Chow group of a versal flag

9 citations · 23 across the 8 of their papers we have counts for

collaborators

12 papers

math.NT2023★ 2 cited

On the Massey Vanishing Conjecture and Formal Hilbert 90

Alexander Merkurjev, Federico Scavia

Let be a prime number, let be a profinite group, let be a continuous character, and for all write $\mathbb{Z}/p^n\mathbb{Z}(1…

math.NT2023★ 1 cited

The Massey Vanishing Conjecture for fourfold Massey products modulo 2

Alexander Merkurjev, Federico Scavia

We prove the Massey Vanishing Conjecture for and . That is, we show that for all fields , if a fourfold Massey product modulo is defined over , then it vanishe…

math.NT2022★ 5 cited

Degenerate fourfold Massey products over arbitrary fields

Alexander Merkurjev, Federico Scavia

We prove that, for all fields of characteristic different from and all , the mod Massey product vanishes as soon as it is d…

math.KT2020

Operations in connective K-theory

Alexander Merkurjev, Alexander Vishik

In this article we classify additive operations in connective K-theory with various torsion-free coefficients. We discover that the answer for the integral case requires understand…

math.AG2020

Connective K-theory and Adams operations

Olivier Haution, Alexander S. Merkurjev

We investigate the relations between the Grothendieck group of coherent modules of an algebraic variety and its Chow group of algebraic cycles modulo rational equivalence. Those ar…

math.GR2017

The norm principle for type groups over complete discretely valued fields

Nivedita Bhaskhar, Vladimir Chernousov, Alexander Merkurjev

Let be a complete discretely valued field with residue field with . Assuming that the norm principle holds for extended Clifford groups for e…