K-theory of admissible Zariski-Riemann spaces
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2021
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| _version_ | 1866929264827301888 |
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| author | Dahlhausen, Christian |
| author_facet | Dahlhausen, Christian |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2101_04131 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | K-theory of admissible Zariski-Riemann spaces Dahlhausen, Christian K-Theory and Homology Algebraic Geometry 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. |
| title | K-theory of admissible Zariski-Riemann spaces |
| topic | K-Theory and Homology Algebraic Geometry |
| url | https://arxiv.org/abs/2101.04131 |