K-theory of admissible Zariski-Riemann spaces
K-Theory and Homology
2024-03-06 v3 Algebraic Geometry
Abstract
We study relative algebraic K-theory of admissible Zariski-Riemann spaces and prove that it is equivalent to G-theory and satisfies homotopy invariance. Moreover, we provide an example of a non-noetherian abelian category whose negative K-theory vanishes.
Keywords
Cite
@article{arxiv.2101.04131,
title = {K-theory of admissible Zariski-Riemann spaces},
author = {Christian Dahlhausen},
journal= {arXiv preprint arXiv:2101.04131},
year = {2024}
}
Comments
v3: Last submitted and final version. Text overlap with arXiv:1910.10437 concerning the basics about admissible Zariski-Riemann spaces