21 citations · 30 across the 3 of their papers we have counts for
4 papers
Localisations of rings of weak global dimension at most one
Jan Šťovíček, Florian Tecklenburg
We characterise the commutative rings of weak global dimension at most one whose derived categories can be stratified by the Balmer-Favi support theory. For such rings, this yields…
Flat quasi-coherent sheaves as directed colimits, and quasi-coherent cotorsion periodicity
Leonid Positselski, Jan Stovicek
We show that every flat quasi-coherent sheaf on a quasi-compact quasi-separated scheme is a directed colimit of locally countably presentable flat quasi-coherent sheaves. More gene…
Tilting complexes and codimension functions over commutative noetherian rings
Michal Hrbek, Tsutomu Nakamura, Jan Šťovíček
In the derived category of a commutative noetherian ring, we explicitly construct a silting object associated with each sp-filtration of the Zariski spectrum satisfying the "slice"…
-Structures with Grothendieck hearts via functor categories
Manuel Saorín, Jan Šťovíček
We study when the heart of a t-structure in a triangulated category with coproducts is AB5 or a Grothendieck category. If satisfies Brown representabili…