54 citations · 234 across the 25 of their papers we have counts for
4 papers · 1 filter
Unramified Brauer group and its applications
Sergey Gorchinskiy, Constantin Shramov
This is a textbook on arithmetic geometry with special regard to unramified Brauer groups of algebraic varieties. The topics include Galois cohomology, Brauer groups, obstructions…
Irreducible representations of finitely generated nilpotent groups
Iuliya Beloshapka, Sergey Gorchinskiy
We prove that irreducible complex representations of finitely generated nilpotent groups are monomial if and only if they have finite weight, which was conjectured by Parshin. Note…
Tangent space to Milnor -groups of rings
S. O. Gorchinskiy, D. V. Osipov
We prove that the tangent space to the -th Milnor -group of a ring is isomorphic to group of -th absolute Kähler differentials of when the ring contains $\…
A higher-dimensional Contou-Carrère symbol: local theory
Sergey Gorchinskiy, Denis Osipov
We construct a higher-dimensional Contou-Carrère symbol and we study its various fundamental properties. The higher-dimensional Contou-Carrère symbol is defined by means of the bou…