Topics in group schemes and surfaces in positive characteristic
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909159901888512 |
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| author | Tziolas, Nikolaos |
| author_facet | Tziolas, Nikolaos |
| contents | This is a survey paper on algebraic surfaces in positive characteristic based on a series of lectures that the author gave at the University of Edinburgh in March 2023. It is focused on certain positive characteristic phenomena like infinitesimal group schemes and their actions on algebraic surfaces as well as the failure in positive characteristic of certain fundamental characteristic zero results like the Kodaira vanishing theorem. Many explicit examples are presented. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_02839 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Topics in group schemes and surfaces in positive characteristic Tziolas, Nikolaos Algebraic Geometry 1402, 14J29, 14J50, 14J10, 14L15, 14F17 This is a survey paper on algebraic surfaces in positive characteristic based on a series of lectures that the author gave at the University of Edinburgh in March 2023. It is focused on certain positive characteristic phenomena like infinitesimal group schemes and their actions on algebraic surfaces as well as the failure in positive characteristic of certain fundamental characteristic zero results like the Kodaira vanishing theorem. Many explicit examples are presented. |
| title | Topics in group schemes and surfaces in positive characteristic |
| topic | Algebraic Geometry 1402, 14J29, 14J50, 14J10, 14L15, 14F17 |
| url | https://arxiv.org/abs/2404.02839 |