Motivic spectra and universality of $K$-theory
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| Soggetti: | |
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| _version_ | 1866912331717410816 |
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| author | Annala, Toni Iwasa, Ryomei |
| author_facet | Annala, Toni Iwasa, Ryomei |
| contents | We develop a theory of motivic spectra in a broad generality; in particular $\mathbb{A}^1$-homotopy invariance is not assumed. As an application, we prove that $K$-theory of schemes is a universal Zariski sheaf of spectra which is equipped with an action of the Picard stack and satisfies projective bundle formula. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2204_03434 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Motivic spectra and universality of $K$-theory Annala, Toni Iwasa, Ryomei Algebraic Geometry Algebraic Topology K-Theory and Homology We develop a theory of motivic spectra in a broad generality; in particular $\mathbb{A}^1$-homotopy invariance is not assumed. As an application, we prove that $K$-theory of schemes is a universal Zariski sheaf of spectra which is equipped with an action of the Picard stack and satisfies projective bundle formula. |
| title | Motivic spectra and universality of $K$-theory |
| topic | Algebraic Geometry Algebraic Topology K-Theory and Homology |
| url | https://arxiv.org/abs/2204.03434 |