Does the Grothendieck ring of varieties contain nilpotent elements?
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866909785677365248 |
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| author | Bot, Anna Cangini, Alessio van Santen, Immanuel |
| author_facet | Bot, Anna Cangini, Alessio van Santen, Immanuel |
| contents | We show that a ring closely related to the Grothendieck ring of varieties has nilpotent elements, provided that the characteristic of the ground field is equal to $11$ or at least $17$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_10464 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Does the Grothendieck ring of varieties contain nilpotent elements? Bot, Anna Cangini, Alessio van Santen, Immanuel Algebraic Geometry 14A10 We show that a ring closely related to the Grothendieck ring of varieties has nilpotent elements, provided that the characteristic of the ground field is equal to $11$ or at least $17$. |
| title | Does the Grothendieck ring of varieties contain nilpotent elements? |
| topic | Algebraic Geometry 14A10 |
| url | https://arxiv.org/abs/2509.10464 |