In this paper, we prove the dg affinity of formal deformation algebroid stacks over complex smooth algebraic varieties. For that purpose, we introduce the triangulated category of formal deformation modules which are cohomologically complete and whose associated graded module is quasi-coherent
We construct a twist-closed enhancement of the category ${\mathcal D}^b_{\rm coh}(X)$, the bounded d...
This paper studies the role of dg-Lie algebroids in derived deformation theory. More precisely, we p...
AbstractThe (dual) Dold–Kan correspondence says that there is an equivalence of categories K:Ch⩾0→Ab...
peer reviewedIn this paper, we prove the dg affinity of formal deformation algebroid stacks over com...
The main subject of this thesis is the study of deformation quantization modules or DQ-modules. This...
This paper surveys the recent advances concerning the relations between triangulated (or derived) ca...
AbstractWe prove that a coherent DQ-kernel induces an equivalence between the derived categories of ...
We prove that under a certain mild hypothesis, the DG category of D-modules on a quasi-compact algeb...
peer reviewedWe prove that a coherent DQ-kernel induces an equivalence between the derived categorie...
We construct an "almost involution" assigning a new DG-category to a given one, and use this constru...
In the work of Hoshino, Kato and Miyachi, [11], the authors look at t-structures induced by a compac...
Cohesive modules give a dg-enhancement of the bounded derived category of coherent sheaves on a comp...
AbstractThe category of unital (unbounded) dg cocommutative coalgebras over a field of characteristi...
Let X be a quasi-compact and quasi-separated scheme. There are two fundamental and pervasive facts a...
Let X be a Noetherian separated and finite dimensional scheme over a field K of characteristic zero....
We construct a twist-closed enhancement of the category ${\mathcal D}^b_{\rm coh}(X)$, the bounded d...
This paper studies the role of dg-Lie algebroids in derived deformation theory. More precisely, we p...
AbstractThe (dual) Dold–Kan correspondence says that there is an equivalence of categories K:Ch⩾0→Ab...
peer reviewedIn this paper, we prove the dg affinity of formal deformation algebroid stacks over com...
The main subject of this thesis is the study of deformation quantization modules or DQ-modules. This...
This paper surveys the recent advances concerning the relations between triangulated (or derived) ca...
AbstractWe prove that a coherent DQ-kernel induces an equivalence between the derived categories of ...
We prove that under a certain mild hypothesis, the DG category of D-modules on a quasi-compact algeb...
peer reviewedWe prove that a coherent DQ-kernel induces an equivalence between the derived categorie...
We construct an "almost involution" assigning a new DG-category to a given one, and use this constru...
In the work of Hoshino, Kato and Miyachi, [11], the authors look at t-structures induced by a compac...
Cohesive modules give a dg-enhancement of the bounded derived category of coherent sheaves on a comp...
AbstractThe category of unital (unbounded) dg cocommutative coalgebras over a field of characteristi...
Let X be a quasi-compact and quasi-separated scheme. There are two fundamental and pervasive facts a...
Let X be a Noetherian separated and finite dimensional scheme over a field K of characteristic zero....
We construct a twist-closed enhancement of the category ${\mathcal D}^b_{\rm coh}(X)$, the bounded d...
This paper studies the role of dg-Lie algebroids in derived deformation theory. More precisely, we p...
AbstractThe (dual) Dold–Kan correspondence says that there is an equivalence of categories K:Ch⩾0→Ab...