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arXiv · 2101.04131

K-theory of admissible Zariski-Riemann spaces

Christian Dahlhausen
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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.

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Christian Dahlhausen. 2021-01-11. K-theory of admissible Zariski-Riemann spaces. https://doi.org/10.2140/akt.2023.8.1

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