Federico Scavia

activity

20202026

most citedDegenerate fourfold Massey products over arbitrary fields

5 citations · 5 across the 4 of their papers we have counts for

collaborators

5 papers

math.AG2026

Vanishing of degree $3$ unramified cohomology over finite fields

Federico Scavia, Fumiaki Suzuki

Let $k$ be a finite field of characteristic $p \neq = 3$ , let $E / k$ be the Fermat cubic curve, and let $ℓ \neq = p$ be a prime. If $p \equiv 1 (mod 3)$ , assume moreover that $ℓ > 3$ . The…

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…

math.AG2022

Non-injectivity of the cycle class map in continuous $ℓ$ -adic cohomology

Federico Scavia, Fumiaki Suzuki

Jannsen asked whether the rational cycle class map in continuous $ℓ$ -adic cohomology is injective, in every codimension for all smooth projective varieties over a field of finit…

math.AG2021

Pathologies du groupe des classes de R-équivalence d'un groupe algébrique linéaire

Federico Scavia

Let $k_{0}$ be a field of characteristic $p > 0$ and $k = k_{0} (t)$ , where $t$ is transcendental over $k_{0}$ . We give an example of a smooth connected unipotent $k$ -group $G$ such that $G(F…

math.AG2020

Steenrod operations on the de Rham cohomology of algebraic stacks

Federico Scavia

Building up on work of Epstein, May and Drury, we define and investigate the mod $p$ Steenrod operations on the de Rham cohomology of smooth algebraic stacks over a field of charac…

Vanishing of degree 3 unramified cohomology over finite fields

Degenerate fourfold Massey products over arbitrary fields

Non-injectivity of the cycle class map in continuous ℓ-adic cohomology

Pathologies du groupe des classes de R-équivalence d'un groupe algébrique linéaire

Steenrod operations on the de Rham cohomology of algebraic stacks

Vanishing of degree $3$ unramified cohomology over finite fields

Non-injectivity of the cycle class map in continuous $ℓ$ -adic cohomology