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arXiv · 2311.12254

A Counterexample to a Question on Grothendieck Groups of Schemes

Amal Mattoo
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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.

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Amal Mattoo. 2023-11-21. A Counterexample to a Question on Grothendieck Groups of Schemes. https://arxiv.org/abs/2311.12254

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