The Abel Summation Method and Infinite Euler Characteristic
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866911702391455744 |
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| author | Huettemann, Thomas Kucerovsky, Dan |
| author_facet | Huettemann, Thomas Kucerovsky, Dan |
| contents | We develop a finiteness notion for unbounded chain complexes over a commutative noetherian integral domain $R$ employing the Abel summation method. The algebraic K-theory of such complexes is defined, and shown to be non-trivial. We also exhibit a natural map from the (usual) algebraic K-theory of $R$ into the new K-theory and show that its image contains a canonical infinite cyclic subgroup. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_21373 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The Abel Summation Method and Infinite Euler Characteristic Huettemann, Thomas Kucerovsky, Dan K-Theory and Homology 18G35 (Primary) 19A99, 19D99, 40G10 (Secondary) We develop a finiteness notion for unbounded chain complexes over a commutative noetherian integral domain $R$ employing the Abel summation method. The algebraic K-theory of such complexes is defined, and shown to be non-trivial. We also exhibit a natural map from the (usual) algebraic K-theory of $R$ into the new K-theory and show that its image contains a canonical infinite cyclic subgroup. |
| title | The Abel Summation Method and Infinite Euler Characteristic |
| topic | K-Theory and Homology 18G35 (Primary) 19A99, 19D99, 40G10 (Secondary) |
| url | https://arxiv.org/abs/2605.21373 |