Federico Scavia

works on

brauer groups 1 brauer-manin obstruction 1 elliptic curves 1 genus one curves 1 hilbert scheme 1 severi-brauer varieties 1

From the 1 of 10 linked papers with an AI index.

collaborators

10 papers

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

The authors show that every Brauer class over a number field can be split by a genus‑one curve by proving that any Severi‑Brauer variety of dimension ≥2 contains a twisted elliptic…

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 $I^º$ be the residue field of $R$ , let $C$ be a smooth projective curve over $R$ with geometrically connected fibers, let $G$ be a reductive $…

math.AG2026

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.

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…