Perfectly generated $t$-structures for algebraic spaces

Abstract

This work studies $t$-structures for the derived category of complexes with quasi-coherent cohomology on algebraic spaces. The main result shows that the relative standard $t$-structures are compactly generated. As an application, we classify compactly generated tensor $t$-structures via Thomason filtrations on the underlying topological space.

arXiv commentimproved exposition, focus on algebraic spaces