Pure exact structures and the pure derived category of a scheme
Por Camilo Arcaya • 28 ago, 2014 • Sección: EducacionSergio Estrada, James Gillespie, Sinem Odabaşi
Abstract: Let C be closed symmetric monoidal Grothendieck category. We define the pure derived category with respect to the monoidal structure via a relative injective model category structure on the category C(C) of unbounded chain complexes in C . We use λ -Purity techniques to get this. As application we define the stalkwise pure derived category of the category of quasi–coherent sheaves on a quasi-separated scheme. We also give a different approach by using the category of flat quasi–coherent sheaves.
arXiv:1408.2846v1 [math.CT]
Category Theory (math.CT)
