S. Gorchinskiy

activity

20042019

most citedParameterized Picard-Vessiot extensions and Atiyah extensions

54 citations · 234 across the 25 of their papers we have counts for

collaborators

Showing 2015 · math.AGShow all

3 papers · 2 filters

math.AG2015

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…

math.AG2015★ 12 cited

Tangent space to Milnor $K$ -groups of rings

S. O. Gorchinskiy, D. V. Osipov

We prove that the tangent space to the $(n + 1)$ -th Milnor $K$ -group of a ring $R$ is isomorphic to group of $n$ -th absolute Kähler differentials of $R$ when the ring $R$ contains $\…

math.AG2015★ 17 cited

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…

Unramified Brauer group and its applications

Tangent space to Milnor K-groups of rings

A higher-dimensional Contou-Carrère symbol: local theory

Tangent space to Milnor $K$ -groups of rings