Federico Scavia

activity

20212025

most citedOn the Massey Vanishing Conjecture and Formal Hilbert 90

2 citations · 3 across the 5 of their papers we have counts for

collaborators

5 papers

math.AG2025

Variétés réelles connexes non stablement rationnelles

Jean-Louis Colliot-Thélène, Alena Pirutka, Federico Scavia

Let $R$ be the field of real Puiseux series. It is a real closed field. We construct the first examples of smooth intersections of two quadrics in $P_{R}^{5}$ and smooth cubic…

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.AG2022

Eilenberg-Moore spectral sequence and Hodge cohomology of classifying stacks

Dmitry Kubrak, Federico Scavia

Let $G$ be a smooth connected reductive group over a field $k$ and $Γ$ be a central subgroup of $G$ . We construct Eilenberg-Moore-type spectral sequences converging to the Hodge an…

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…