Construction of the motivic cellular spectrum $\mathbf{KO}^{geo}$ over $Spec(\mathbb{Z})$
| Autor: | Kumar, K. Arun |
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| Rok vydání: | 2023 |
| Předmět: | |
| Zdroj: | New York J. Math. 30 (2024), 323--350 |
| Druh dokumentu: | Working Paper |
| Popis: | We construct a periodic motivic spectrum over $Spec(\mathbb{Z})$ which when pulled back to any scheme $S$ with $\frac{1}{2}\in\Gamma(S,\mathcal{O}_S)$ is the $HP^1-$spectrum constructed by Panin and Walter. This spectrum $\mathbf{KO}^{geo}$ is constructed using closed subschemes of the Grassmannians $Gr(r,n)$. Using this we show that $\mathbf{KO}^{geo}$ is cellular. Comment: Adapted from the author's PhD thesis. Version accepted for publication |
| Databáze: | arXiv |
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