A Counterexample to a Question on Grothendieck Groups of Schemes
Algebraic Geometry
2023-11-22 v1
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.
Keywords
Cite
@article{arxiv.2311.12254,
title = {A Counterexample to a Question on Grothendieck Groups of Schemes},
author = {Amal Mattoo},
journal= {arXiv preprint arXiv:2311.12254},
year = {2023}
}
Comments
7 pages