D. Kubrak

activity

20192022

collaborators

4 papers

math.AG2022

The canonical global quantization of symplectic varieties in characteristic $p$

Ekaterina Bogdanova, Dmitry Kubrak, Roman Travkin +1

Let $X$ be a smooth symplectic variety over a field $k$ of characteristic $p > 2$ equipped with a restricted structure, which is a class $[η] \in H^{0} (X, Ω_{X}^{1} / d O_{X})$ whose d…

math.AG2022

Rational $p$ -adic Hodge theory for $d$ -de Rham-proper stacks

Haoyang Guo, Dmitry Kubrak, Artem Prikhodko

In this follow-up paper we show that smooth Hodge-proper stacks over $O_{K}$ are $Q_{p}$ -locally acyclic: namely the natural map between étale $Q_{p}$ -cohomology…

math.AG2021

$p$ -adic Hodge theory for Artin stacks

Dmitry Kubrak, Artem Prikhodko

This work is devoted to the study of integral $p$ -adic Hodge theory in the context of Artin stacks. For a Hodge-proper stack, using the formalism of prismatic cohomology, we establ…

math.AG2019

Hodge-to-de Rham degeneration for stacks

Dmitry Kubrak, Artem Prikhodko

We introduce a notion of a Hodge-proper stack and extend the method of Deligne-Illusie to prove the Hodge-to-de Rham degeneration in this setting. In order to reduce the statement…

The canonical global quantization of symplectic varieties in characteristic p

Rational p-adic Hodge theory for d-de Rham-proper stacks

p-adic Hodge theory for Artin stacks

Hodge-to-de Rham degeneration for stacks

The canonical global quantization of symplectic varieties in characteristic $p$

Rational $p$ -adic Hodge theory for $d$ -de Rham-proper stacks

$p$ -adic Hodge theory for Artin stacks