A Counterexample to a Question on Grothendieck Groups of Schemes
arXiv:2311.12254
Abstract
If an element of the Grothendieck group of the derived category of a scheme is locally represented by perfect complexes, then can the original element be represented by a perfect complex? We provide a counterexample on a projective variety of dimension 2, as well as a counterexample on a thickening of a Dedekind domain.
7 pages