Z. Reichstein

activity

19992026

most citedEssential dimension and algebraic stacks

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

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4 papers · 1 filter

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…

math.NT2022

Rational self-maps with a regular iterate on a semiabelian variety

Jason Bell, Dragos Ghioca, Zinovy Reichstein

Let $G$ be a semiabelian variety defined over an algebraically closed field $K$ of characteristic $0$ . Let $Φ : G ⇢ G$ be a dominant rational self-map. Assume that…

math.NT2017★ 1 cited

On the number of generators of a separable algebra over a finite field

Uriya First, Zinovy Reichstein, Santiago Salazar

Let $F$ be a field and let $E$ be an étale algebra over $F$ , that is, a finite product of finite separable field extensions $E = F_{1} \times \dots \times F_{r}$ . The classical primiti…

math.NT2014

Joubert's theorem fails in characteristic 2

Zinovy Reichstein

Let L/K be a separable field extension of degree 6. An 1867 theorem of P. Joubert asserts that if char(K) is different from 2 then L is generated over K by an element whose minimal…