Federico Scavia

activity

20182026

collaborators

19 papers

math.AG2026

Comb smoothing and local triviality of homogeneous spaces over a relative curve

Margot Bruneaux, Federico Scavia

Let $R$ be a Henselian local ring, let $κ$ be the residue field of $R$ , let $C$ be a smooth projective curve over $R$ with geometrically connected fibers, let $G$ be a reductive $C…

math.AG2026

Finite abelian subgroups of algebraic groups

Danny Ofek, Zinovy Reichstein, Federico Scavia

Let $k$ be an algebraically closed field, and let $G$ be an algebraic $k$ -group. We study finite abelian $k$ -subgroups $A \subset G$ whose order is not divisible by the characteris…

math.AG2026

Splitting Brauer classes by genus one curves over number fields

Benjamin Antieau, Asher Auel, Federico Scavia

We prove that every Severi-Brauer variety of dimension at least two over a number field contains a twisted elliptic normal curve. Consequently, every Brauer class over a number fie…

math.AG2026

Equivariant intermediate Jacobians and intersections of two quadrics

Federico Scavia

We present a short proof of the following theorem of Hassett and Tschinkel: for every finite group $G$ , a $G$ -equivariant smooth complete intersection of two quadrics in $\mathbb{P…

math.AG2026

Birational invariance of higher Amitsur groups

Federico Scavia, Yuri Tschinkel, Zhijia Zhang

Let $k$ be a field of characteristic zero and $G$ a finite group. We prove that for all $n \geq 2$ , the $n$ th Amitsur group is a stable $G$ -birational invariant of smooth projective…

math.AG2025

Brauer classes not split by genus one curves

Zinovy Reichstein, Federico Scavia

We show that there exist Brauer classes over a field $F$ which are not split by any genus one curve over $F$ . This answers a question of Clark and Saltman.