Quasi-F-splittings in birational geometry
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arXiv
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| Auteurs principaux: | , , , , , |
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| Format: | Preprint |
| Publié: |
2022
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| _version_ | 1866910629571330048 |
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| author | Kawakami, Tatsuro Takamatsu, Teppei Tanaka, Hiromu Witaszek, Jakub Yobuko, Fuetaro Yoshikawa, Shou |
| author_facet | Kawakami, Tatsuro Takamatsu, Teppei Tanaka, Hiromu Witaszek, Jakub Yobuko, Fuetaro Yoshikawa, Shou |
| contents | We develop the theory of quasi-$F$-splittings in the context of birational geometry. Amongst other things, we obtain results on liftability of sections and establish a criterion for whether a scheme is quasi-$F$-split employing the higher Cartier operator. As one of the applications of our theory, we prove that three-dimensional klt singularities in large characteristic are quasi-$F$-split, and so, in particular, they lift modulo $p^2$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2208_08016 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Quasi-F-splittings in birational geometry Kawakami, Tatsuro Takamatsu, Teppei Tanaka, Hiromu Witaszek, Jakub Yobuko, Fuetaro Yoshikawa, Shou Algebraic Geometry Commutative Algebra 14E30, 13A35 We develop the theory of quasi-$F$-splittings in the context of birational geometry. Amongst other things, we obtain results on liftability of sections and establish a criterion for whether a scheme is quasi-$F$-split employing the higher Cartier operator. As one of the applications of our theory, we prove that three-dimensional klt singularities in large characteristic are quasi-$F$-split, and so, in particular, they lift modulo $p^2$. |
| title | Quasi-F-splittings in birational geometry |
| topic | Algebraic Geometry Commutative Algebra 14E30, 13A35 |
| url | https://arxiv.org/abs/2208.08016 |