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of 19
pro vyhledávání: '"Kubrak, Dmitry"'
We introduce and study a derived version $\mathbf L\mathrm{Bin}$ of the binomial monad on the unbounded derived category $\mathscr D(\mathbb Z)$ of $\mathbb Z$-modules. This monad acts naturally on singular cohomology of any topological space, and do
Externí odkaz:
http://arxiv.org/abs/2308.01110
Let $X$ be a smooth symplectic variety over a field $k$ of characteristic $p>2$ equipped with a restricted structure, which is a class $[\eta] \in H^0(X, \Omega^1_X/d\mathcal O_X)$ whose de Rham differential equals the symplectic form. In this paper
Externí odkaz:
http://arxiv.org/abs/2211.17261
In this follow-up paper we show that smooth Hodge-proper stacks over $\mathcal O_K$ are $\mathbb Q_p$-locally acyclic: namely the natural map between \'etale $\mathbb Q_p$-cohomology of the algebraic and Raynaud generic fibers is an equivalence. This
Externí odkaz:
http://arxiv.org/abs/2211.17227
Autor:
Kubrak, Dmitry, Scavia, Federico
Let $G$ be a smooth connected reductive group over a field $k$ and $\Gamma$ be a central subgroup of $G$. We construct Eilenberg-Moore-type spectral sequences converging to the Hodge and de Rham cohomology of $B(G/\Gamma)$. As an application, buildin
Externí odkaz:
http://arxiv.org/abs/2208.13551
Autor:
Kubrak, Dmitry(Dmitrii)
Thesis: Ph. D., Massachusetts Institute of Technology, Department of Mathematics, May, 2020
Cataloged from the official PDF of thesis. In title on title page, double underscored "p" appears as subscript.
Includes bibliographical references
Cataloged from the official PDF of thesis. In title on title page, double underscored "p" appears as subscript.
Includes bibliographical references
Externí odkaz:
https://hdl.handle.net/1721.1/126926
Autor:
Kubrak, Dmitry, Prikhodko, Artem
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 establish a version of $p$-adic Hodge theory with the \'etale cohomology of
Externí odkaz:
http://arxiv.org/abs/2105.05319
Autor:
Kubrak, Dmitry, Prikhodko, Artem
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 in characteristic $0$ to characteristic $p$, we need to find a good in
Externí odkaz:
http://arxiv.org/abs/1910.12665
Autor:
Kubrak, Dmitry, Travkin, Roman
For a smooth variety $X$ over an algebraically closed field of characteristic $p$, to a differential 1-form $\alpha$ on the Frobenius twist $X^{(1)}$ one can associate an Azumaya algebra $\mathcal D_{X,\alpha}$, defined as a certain central reduction
Externí odkaz:
http://arxiv.org/abs/1611.08340
Autor:
Finkelberg, Michael, Kubrak, Dmitry
Publikováno v:
Functional Analysis and its Applications 49, no.2 (2015), 135--141
We extend slightly the results of Evens-Mirkovi\'c, and "compute" the characteristic cycles of Intersection Cohomology sheaves on the transversal slices in the double affine Grassmannian and on the hypertoric varieties. We propose a conjecture relati
Externí odkaz:
http://arxiv.org/abs/1212.3051
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