54 citations · 234 across the 25 of their papers we have counts for
29 papers
Orthogonal to principal ideles
Sergey Gorchinskiy
We describe the orthogonal to the group of principal ideles with respect to the global tame symbol pairing on the group of ideles of a smooth projective algebraic curve over a fiel…
Relative Milnor -groups and differential forms of split nilpotent extensions
Sergey Gorchinskiy, Dimitrii Tyurin
Let be a commutative ring and be a nilpotent ideal such that the quotient splits out of as a ring. Let be a natural number such that . We es…
Categorical measures for finite group actions
Daniel Bergh, Sergey Gorchinskiy, Michael Larsen +1
Given a variety with a finite group action, we compare its equivariant categorical measure, that is, the categorical measure of the corresponding quotient stack, and the categorica…
Integral Chow motives of threefolds with -motives of unit type
Sergey Gorchinskiy
We prove that if a smooth projective algebraic variety of dimension less or equal to three has a unit type integral -motive, then its integral Chow motive is of Lefschetz type.…
Higher-dimensional Contou-Carrère symbol and continuous automorphisms
Sergey Gorchinskiy, Denis Osipov
We prove that the higher-dimensional Contou-Carrère symbol is invariant under continuous automorphisms of algebras of iterated Laurent series over a ring. Applying this property, w…
Continuous homomorphisms between algebras of iterated Laurent series over a ring
Sergey Gorchinskiy, Denis Osipov
We study continuous homomorphisms between algebras of iterated Laurent series over a commutative ring. We give a full description of such homomorphisms in terms of a discrete data…