Regular subcategories in bounded derived categories of affine schemes

Abstract

Let $R$ be a commutative Noetherian ring such that $X=SpecR$ is connected. We prove that the category $D^b(cohX)$ contains no proper full triangulated subcategories which are regular. We also bound from below the dimension of a regular category $T$, if there exists a triangulated functor $T\to D^b(cohX)$ with certain properties. Applications are given to cohomological annihilator of $R$ and to point-like objects in $T$.

27 pages. This variant is identical to the print version

References in corpus (1)

• Generating the bounded derived category and perfect ghosts