D. Kubrak

activity

20122026

most citedResolutions with conical slices and descent for the Brauer group classes of certain central reductions of differential operators in characteristic

p

2 citations · 3 across the 8 of their papers we have counts for

collaborators

11 papers

math.AT2026

Derived plethystic algebra

Benjamin Antieau, Edith Hübner, Dmitry Kubrak +1

We prove comparison results about $\infty$ -categories of derived commutative rings with extra algebraic structure. For example, we show that several notions of derived $δ$ -rings ag…

math.GR2025

Ping-pong in the projective plane over a nonarchimedean field

Sami Douba, Dmitry Kubrak, Konstantinos Tsouvalas

We show that any lattice in $SL_{3} (k)$ , where $k$ is a nonarchimedean local field, contains an undistorted subgroup isomorphic to the free product $Z^{2} * Z$ …

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.AG2022

Eilenberg-Moore spectral sequence and Hodge cohomology of classifying stacks

Dmitry Kubrak, Federico Scavia

Let $G$ be a smooth connected reductive group over a field $k$ and $Γ$ be a central subgroup of $G$ . We construct Eilenberg-Moore-type spectral sequences converging to the Hodge an…

math.AG2021★ 1 cited

$p$ -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…

math.AG2016★ 2 cited

Resolutions with conical slices and descent for the Brauer group classes of certain central reductions of differential operators in characteristic $p$

Dmitry Kubrak, Roman Travkin

For a smooth variety $X$ over an algebraically closed field of characteristic $p$ , to a differential 1-form $α$ on the Frobenius twist $X^{(1)}$ one can associate an Azumaya algebr…

math.AG2012

Vanishing cycles on Poisson varieties

Michael Finkelberg, Dmitry Kubrak

We extend slightly the results of Evens-Mirković, and "compute" the characteristic cycles of Intersection Cohomology sheaves on the transversal slices in the double affine Grassman…

Derived plethystic algebra

Ping-pong in the projective plane over a nonarchimedean field

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

Eilenberg-Moore spectral sequence and Hodge cohomology of classifying stacks

p-adic Hodge theory for Artin stacks

Hodge-to-de Rham degeneration for stacks

Resolutions with conical slices and descent for the Brauer group classes of certain central reductions of differential operators in characteristic p

Vanishing cycles on Poisson varieties

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

Resolutions with conical slices and descent for the Brauer group classes of certain central reductions of differential operators in characteristic $p$