Federico Scavia

activity

20182026

most citedThe behavior of essential dimension under specialization

5 citations · 12 across the 19 of their papers we have counts for

collaborators

Showing math.NTShow all

5 papers · 1 filter

math.NT2025

The lifting problem for Galois representations

Alexander Merkurjev, Federico Scavia

We solve the lifting problem for Galois representations in every dimension and in every characteristic. That is, we determine all pairs $(n, k)$ , where $n$ is a positive integer and…

math.NT2024

Galois representations modulo $p$ that do not lift modulo $p^{2}$

Alexander Merkurjev, Federico Scavia

For every finite group $H$ and every finite $H$ -module $A$ , we determine the subgroup of negligible classes in $H^{2} (H, A)$ , in the sense of Serre, over fields with enough roots of u…

math.NT2023★ 1 cited

Non-formality of Galois cohomology modulo all primes

Alexander Merkurjev, Federico Scavia

Let $p$ be a prime number and let $F$ be a field of characteristic different from $p$ . We prove that there exist a field extension $L / F$ and $a, b, c, d$ in $L^{\times}$ such that $(a…

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…

The lifting problem for Galois representations

Galois representations modulo p that do not lift modulo p2

Non-formality of Galois cohomology modulo all primes

On the Massey Vanishing Conjecture and Formal Hilbert 90

The Massey Vanishing Conjecture for fourfold Massey products modulo 2

Galois representations modulo $p$ that do not lift modulo $p^{2}$