A. Merkurjev

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

Showing math.NTShow all

3 papers · 1 filter

math.NT2023★ 2 cited

On the Massey Vanishing Conjecture and Formal Hilbert 90

Alexander Merkurjev, Federico Scavia

Let $p$ be a prime number, let $G$ be a profinite group, let $θ : G \to Z_{p}^{\times}$ be a continuous character, and for all $n \geq 1$ 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 $n = 4$ and $p = 2$ . That is, we show that for all fields $F$ , if a fourfold Massey product modulo $2$ is defined over $F$ , then it vanishe…

math.NT2022★ 5 cited

Degenerate fourfold Massey products over arbitrary fields

Alexander Merkurjev, Federico Scavia

We prove that, for all fields $F$ of characteristic different from $2$ and all $a, b, c \in F^{\times}$ , the mod $2$ Massey product $⟨ a, b, c, a ⟩$ vanishes as soon as it is d…