D. Kubrak

activity

20192025

collaborators

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6 papers · 1 filter

math.AG2025

On filtered algebraic $K$ -theory of stacks I: characteristic zero

Elden Elmanto, Dmitry Kubrak, Vladimir Sosnilo

Given a compact Lie group $G$ acting on a space $X$ , the classical Atiyah-Segal completion theorem identifies topological $K$ -theory of the homotopy quotient $X / G$ with an explicit…

math.AG2023

Derived binomial rings I: integral Betti cohomology of log schemes

Dmitry Kubrak, Georgii Shuklin, Alexander Zakharov

We introduce and study a derived version $L Bin$ of the binomial monad on the unbounded derived category $D (Z)$ of $Z$ -modules. This monad…

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…

On filtered algebraic K-theory of stacks I: characteristic zero

Derived binomial rings I: integral Betti cohomology of log schemes

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

On filtered algebraic $K$ -theory of stacks I: characteristic zero

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