In [19] we defined the polarizable Hodge Modules which correspond (philosophically) to the
perverse pure complexes in the/-adic theory [3, 10]. For the definition, we used the stability …

Let $ C $ be an abelian category. We show that under certain hypotheses, a cotorsion pair
$(A, B) $ in $ C $ may induce two natural homological model structures on $ Ch (C) $. One …

In this note we present a work in progresswhosemain purpose is to establish a categorified
version of sheaf theory. We present a notion of derived categorical sheaves, which is a …

Let $\kappa $ be a regular cardinal, $\lambda<\kappa $ be a smaller infinite cardinal, and
$\mathsf K $ be a $\kappa $-accessible category where colimits of $\lambda $-indexed …

In this paper we initiate a study of the theory of cosheaves of modules. We are interested
mainly in those facts which are not encompassed by the known theories of sheaves with …

This paper is devoted to the study of flat module representations. We characterize such
representations for quivers not containing the path·•→•(the so called rooted quivers). Then …

Several years ago, Bondal, Rouquier, and Van den Bergh introduced the notion of the
dimension of a triangulated category, and Rouquier proved that the bounded derived …

A Unified Approach to Local Cohomology Modules using Serre Classes Page 1 Canad. Math.
Bull. Vol. 53 (4), 2010 pp. 577–586 doi:10.4153/CMB-2010-064-0 c©Canadian Mathematical …

We show how derived categories build bridges across the current mathematical mainstream,
linking geometric and algebraic, commutative and noncommutative, local and global banks …

Generalizing a theorem of Macdonald, we show a formula for the mixed Hodge structure on
the cohomology of the symmetric products of bounded complexes of mixed Hodge modules …