We associate a $ t $-structure to a family of objects in $\boldsymbol {\mathsf {D}}(\mathcal
{A}) $, the derived category of a Grothendieck category $\mathcal {A} $. Using general …

The paper contains general results on the uniqueness of a DG enhancement for triangulated
categories. As a consequence we obtain such uniqueness for the unbounded derived …

We give the description of the t-structure on the derived category of regular holonomic D-
modules corresponding to the trivial t-structure on the derived category of constructible …

We define a dimension for a triangulated category. We prove a representability Theorem for
a class of functors on finite dimensional triangulated categories. We study the dimension of …

We describe some basic properties of the derived category of coherent sheaves on a variety
(bounded derived category or perfect complexes). The first chapter considers the problem of …

Discrete derived categories were studied initially by Vossieck (J Algebra 243: 168–176,
2001) and later by Bobiński et al.(Cent Eur J Math 2: 19–49, 2004). In this article, we …

We investigate certain singular categories of Harish-Chandra bimodules realized as the
category of $\mathfrak {p} $-presentable modules in the principal block of the Bernstein …

We prove that the derived category of a Grothendieck abelian category has a unique dg
enhancement. Under some additional assumptions, we show that the same result holds true …

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