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math.AT2021
Quillen equivalences inducing Grothendieck duality for unbounded chain complexes of sheaves
Sergio Estrada, James Gillespie
Let be a semiseparated Noetherian scheme with a dualizing complex . We lift some well-known triangulated equivalences associated with Grothendieck duality to Quille…
math.AT2017
Quillen equivalent models for the derived category of flats and the resolution property
Sergio Estrada, Alexander Slavik
We investigate under which assumptions a subclass of flat quasi-coherent shea\-ves on a quasi-compact and semi-separated scheme allows to "mock" the homotopy category of projective…
math.AT2015★ 15 cited
The projective stable category of a coherent scheme
Sergio Estrada, James Gillespie
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-coher…