Elliptic singularities and threefold flops in positive characteristic
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866908604572893184 |
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| author | Tanaka, Hiromu |
| author_facet | Tanaka, Hiromu |
| contents | Let $X$ be a smooth threefold over an algebraically closed field of positive characteristic. We prove that an arbitrary flop of $X$ is smooth. To this end, we study Gorenstein curves of genus one and two-dimensional elliptic singularities defined over imperfect fields. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_08118 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Elliptic singularities and threefold flops in positive characteristic Tanaka, Hiromu Algebraic Geometry Let $X$ be a smooth threefold over an algebraically closed field of positive characteristic. We prove that an arbitrary flop of $X$ is smooth. To this end, we study Gorenstein curves of genus one and two-dimensional elliptic singularities defined over imperfect fields. |
| title | Elliptic singularities and threefold flops in positive characteristic |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2308.08118 |