Perfectly generated -structures for algebraic spaces
arXiv:2506.18803
summary
The paper investigates t-structures on the derived category of quasi-coherent sheaves over certain algebraic stacks, proving that the standard t-structure is compactly generated and using this to classify compactly generated tensor t-structures through Thomason filtrations.
Abstract
This work studies -structures for the derived category of complexes with quasi-coherent cohomology on algebraic spaces. The main result shows that the relative standard -structures are compactly generated. As an application, we classify compactly generated tensor -structures via Thomason filtrations on the underlying topological space.
improved exposition, focus on algebraic spaces
Topics & keywords
#derived categories#t-structures#algebraic stacks#compact generation#tensor categoriesstandard t-structurequasi-coherent sheavesThomason filtrationcompactly generatedtensor t-structure