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math.AG2023
K-flatness in Grothendieck categories: Application to quasi-coherent sheaves
Sergio Estrada, James Gillespie, Sinem Odabaşı
Let be any closed symmetric monoidal Grothendieck category. We show that K-flat covers exist universally in the category of chain complexes and that the Ver…
math.AG2013
Pure injective and absolutely pure sheaves
Edgar Enochs, Sergio Estrada, Sinem Odabaşı
We study two notions of purity in categories of sheaves: the categorical and the geometric. It is shown that pure injective envelopes exist in both cases under very general assumpt…
math.AG2011
A Lazard-like theorem for quasi-coherent sheaves
Sergio Estrada, Pedro A. Guil Asensio, Sinem Odabasi
We study filtration of quasi--coherent sheaves. We prove a version of Kaplansky Theorem for quasi--coherent sheaves, by using Drinfeld's notion of almost projective module and the…