Weibel vanishing and the projective bundle formula for mixed characteristic motivic cohomology
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866916856226381824 |
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| author | Bouis, Tess |
| author_facet | Bouis, Tess |
| contents | We prove that the motivic cohomology of mixed characteristic schemes, introduced in our previous work, satisfies various expected properties of motivic cohomology, including a motivic refinement of Weibel's vanishing in algebraic $K$-theory, the projective bundle formula, a comparison to Milnor $K$-theory, and a universal characterisation in terms of pro cdh descent. These results extend those of Elmanto--Morrow to schemes which are not necessarily defined over a field. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_16501 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Weibel vanishing and the projective bundle formula for mixed characteristic motivic cohomology Bouis, Tess Algebraic Geometry K-Theory and Homology Number Theory We prove that the motivic cohomology of mixed characteristic schemes, introduced in our previous work, satisfies various expected properties of motivic cohomology, including a motivic refinement of Weibel's vanishing in algebraic $K$-theory, the projective bundle formula, a comparison to Milnor $K$-theory, and a universal characterisation in terms of pro cdh descent. These results extend those of Elmanto--Morrow to schemes which are not necessarily defined over a field. |
| title | Weibel vanishing and the projective bundle formula for mixed characteristic motivic cohomology |
| topic | Algebraic Geometry K-Theory and Homology Number Theory |
| url | https://arxiv.org/abs/2507.16501 |