On linear $α_p$-quotients
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866912971881447424 |
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| author | Posva, Quentin Rösler, Linus Yasuda, Takehiko |
| author_facet | Posva, Quentin Rösler, Linus Yasuda, Takehiko |
| contents | We study linear $α_p$-actions on affine spaces and the associated quotient singularities, using explicit stacky resolutions. We describe when the quotient singularities are log canonical, canonical or terminal, and we compute their stringy motivic invariants. The second author and Fabio Tonini conjectured that these invariants coincide with those of linear $\mathbb{Z}/p$-quotients: our approach reduces this conjecture to an equality of explicit multi-sets, which we check for a large number of primes using a computer software. A general proof of the equality of multi-sets is given in the appendix written by Linus Rösler. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_07152 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On linear $α_p$-quotients Posva, Quentin Rösler, Linus Yasuda, Takehiko Algebraic Geometry We study linear $α_p$-actions on affine spaces and the associated quotient singularities, using explicit stacky resolutions. We describe when the quotient singularities are log canonical, canonical or terminal, and we compute their stringy motivic invariants. The second author and Fabio Tonini conjectured that these invariants coincide with those of linear $\mathbb{Z}/p$-quotients: our approach reduces this conjecture to an equality of explicit multi-sets, which we check for a large number of primes using a computer software. A general proof of the equality of multi-sets is given in the appendix written by Linus Rösler. |
| title | On linear $α_p$-quotients |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2603.07152 |