The Balmer spectrum of Voevodsky motives and pure symbols
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915472315777024 |
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| author | Vishik, Alexander |
| author_facet | Vishik, Alexander |
| contents | In this article we introduce invariants of points of the Balmer spectrum of the Voevodsky motivic category whose values are "light Rost cycle submodules" of the module of pure symbols in Milnor's K-theory (mod 2). As an application, we show that isotropic points of the Balmer spectrum are closed. We also introduce the notion of points of a boundary type and show that this class contains isotropic points, but not the etale one. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_00584 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Balmer spectrum of Voevodsky motives and pure symbols Vishik, Alexander Algebraic Geometry Algebraic Topology K-Theory and Homology 14F42 In this article we introduce invariants of points of the Balmer spectrum of the Voevodsky motivic category whose values are "light Rost cycle submodules" of the module of pure symbols in Milnor's K-theory (mod 2). As an application, we show that isotropic points of the Balmer spectrum are closed. We also introduce the notion of points of a boundary type and show that this class contains isotropic points, but not the etale one. |
| title | The Balmer spectrum of Voevodsky motives and pure symbols |
| topic | Algebraic Geometry Algebraic Topology K-Theory and Homology 14F42 |
| url | https://arxiv.org/abs/2509.00584 |