33 citations · 132 across the 17 of their papers we have counts for
22 papers
The canonical global quantization of symplectic varieties in characteristic
Ekaterina Bogdanova, Dmitry Kubrak, Roman Travkin +1
Let be a smooth symplectic variety over a field of characteristic equipped with a restricted structure, which is a class whose d…
On the Bezrukavnikov-Kaledin quantization of symplectic varieties in characteristic
Ekaterina Bogdanova, Vadim Vologodsky
We prove that after inverting the Planck constant the Bezrukavnikov-Kaledin quantization of symplectic variety in characteristic is Morita equivale…
Boundedness for finite subgroups of linear algebraic groups
Constantin Shramov, Vadim Vologodsky
We show the boundedness of finite subgroups in any anisotropic reductive algebraic group over a perfect field that contains all roots of 1. Also, we provide explicit bounds for ord…
On the periodic topological cyclic homology of DG categories in characteristic p
Alexander Petrov, Vadim Vologodsky
We prove that the -adically completed periodic topological cyclic homology of a DG category over a perfect field of characteristic is isomorphic to the (-adically c…
Automorphisms of pointless surfaces
Constantin Shramov, Vadim Vologodsky
For a geometrically rational surface X over an arbitrary field of characteristic different from 2 and 3 that contains all roots of 1, we show that either X is birational to a produ…
The Gauss-Manin connection on the periodic cyclic homology
Alexander Petrov, Dmitry Vaintrob, Vadim Vologodsky
It is expected that the periodic cyclic homology of a DG algebra over the field of complex numbers (and, more generally, the periodic cyclic homology of a DG category) carries a lo…