Mikhail Borovoi

collaborators

3 papers

math.RT2026

Abelian Galois cohomology of quasi-connected reductive groups

Mikhail Borovoi, Taeyeoup Kang

In 1999 Labesse introduced quasi-connected reductive groups and investigated their abelian Galois cohomology over local and global fields of characteristic 0. We (1) generalize som…

math.NT2025

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 $$(Î¾,n)\mapsto Î¾^{\Diamond n}\,\colon\, H^1(K,G)\times {\mathbb…

math.NT2025

The period and index of a Galois cohomology class of a reductive group over a local or global field

Mikhail Borovoi

Let $K$ be a local or global field. For a connected reductive group $G$ over $K$ , in another preprint [5] we defined a power operation $$(Î¾,n)\mapsto Î¾^{\Diamond n}\,\colon\, H^1…