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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2309.03366 |
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| _version_ | 1866908281723682816 |
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| author | Pajwani, Jesse Pál, Ambrus |
| author_facet | Pajwani, Jesse Pál, Ambrus |
| contents | For $k$ a field, we construct a power structure on the Grothendieck--Witt ring of $k$ which has the potential to be compatible with symmetric powers of varieties and the motivic Euler characteristic. We then show this power structure is compatible with the power structure when we restrict to varieties of dimension $0$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_03366 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Power structures on the Grothendieck--Witt ring and the motivic Euler characteristic Pajwani, Jesse Pál, Ambrus Number Theory For $k$ a field, we construct a power structure on the Grothendieck--Witt ring of $k$ which has the potential to be compatible with symmetric powers of varieties and the motivic Euler characteristic. We then show this power structure is compatible with the power structure when we restrict to varieties of dimension $0$. |
| title | Power structures on the Grothendieck--Witt ring and the motivic Euler characteristic |
| topic | Number Theory |
| url | https://arxiv.org/abs/2309.03366 |