K-theory of admissible Zariski-Riemann spaces
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.
- Publication:
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arXiv e-prints
- Pub Date:
- January 2021
- DOI:
- 10.48550/arXiv.2101.04131
- arXiv:
- arXiv:2101.04131
- Bibcode:
- 2021arXiv210104131D
- Keywords:
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- Mathematics - K-Theory and Homology;
- Mathematics - Algebraic Geometry
- E-Print:
- v3: Last submitted and final version. Text overlap with arXiv:1910.10437 concerning the basics about admissible Zariski-Riemann spaces