We define the projective stable category of a coherent scheme. It is the homotopy category
of an abelian model structure on the category of unbounded chain complexes of quasi …

We prove in this paper that for a quasi-compact and semi-separated (nonnecessarily
noetherian) scheme X, the derived category of quasi-coherent sheaves over X, D (Aqc (X)) …

The unbounded derived category of a Grothendieck abelian category is the homotopy
category of a Quillen model structure on the category of unbounded chain complexes, where …

Abstract Let\((\mathcal {G},\otimes)\) be any closed symmetric monoidal Grothendieck
category. We show that K-flat covers exist universally in the category of chain complexes …

Our aim is to give a fairly complete account on the construction of compatible model
structures on exact categories and symmetric monoidal exact categories, in some cases …

All notation and conventions are from our notes on Derived Categories (DTC) or Derived
Categories of Sheaves (DCOS). In particular we assume that every abelian category comes …

Derived Category of Quasi-Coherent Modules on an Artin Stack Via Model Structures |
International Mathematics Research Notices | Oxford Academic Skip to Main Content …

We put a monoidal model category structure on the category of chain complexes of quasi-
coherent sheaves over a quasi-compact and semi-separated scheme X. The approach …

Let X be an Adams geometric stack. We show that D (A qc (X)), its derived category of quasi-
coherent sheaves, satisfies the axioms of a stable homotopy category defined by Hovey …

Let $ X $ be a Noetherian scheme, $\mathbf {K}(\operatorname {Flat} X) $ be the homotopy
category of flat quasi-coherent $\mathcal {O} _X $-modules and $\mathbf {K} …