Higher F-rational singularities
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
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| _version_ | 1866913029558370304 |
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| author | Kawakami, Tatsuro Witaszek, Jakub |
| author_facet | Kawakami, Tatsuro Witaszek, Jakub |
| contents | We introduce higher $F$-rationality generalising $F$-rationality. We prove that a normal variety over a field of characteristic zero is $m$-rational if and only if it is $m$-$F$-rational after reduction modulo a sufficiently large prime $p$. Additionally, we establish new results on the logarithmic extension of forms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_12362 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Higher F-rational singularities Kawakami, Tatsuro Witaszek, Jakub Algebraic Geometry 13A35, 14F10, 14B05 We introduce higher $F$-rationality generalising $F$-rationality. We prove that a normal variety over a field of characteristic zero is $m$-rational if and only if it is $m$-$F$-rational after reduction modulo a sufficiently large prime $p$. Additionally, we establish new results on the logarithmic extension of forms. |
| title | Higher F-rational singularities |
| topic | Algebraic Geometry 13A35, 14F10, 14B05 |
| url | https://arxiv.org/abs/2604.12362 |