Z. Reichstein

activity

19992026

most citedEssential dimension and algebraic stacks

32 citations · 189 across the 65 of their papers we have counts for

collaborators

81 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.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.

math.AG2025

Specialization and rigidity

Zinovy Reichstein, Federico Scavia

We describe a general method, originated by Ofer Gabber, for showing that a very general fiber in a family has certain properties. We illustrate this method with concrete examples…

math.GR2024

Essential Dimension of Small Finite Groups

Dilpreet Kaur, Zinovy Reichstein

We compute the essential dimension of finite groups of order $⩽ 63$ .

math.AG2024

Hilbert's 13th problem in prime characteristic

Oakley Edens, Zinovy Reichstein

The resolvent degree $rd_{C} (n)$ is the smallest integer $d$ such that a root of the general polynomial $f (x) = x^{n} + a_{1} x^{n - 1} + \dots + a_{n}$ can be express…

math.NT2024

The power operation in the Galois cohomology of a reductive group over a number field

Mikhail Borovoi, Zinovy Reichstein, Philippe Gille

For a connected reductive group $G$ over a local or global field $K$ , we define a *diamond* (or *power*) operation $$(ξ,n)\mapsto ξ^{\Diamond n}\,\colon\, H^1(K,G)\times {\mathbb Z…