Theorems of Bertini and Chevalley
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
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| _version_ | 1866910190750662656 |
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| author | Kollár, János |
| author_facet | Kollár, János |
| contents | We give a short proof of Chevalley's theorem that every algebraic group is an extension of an Abelian variety by a linear algebraic group. Along the way we treat Bertini's irreducibility theorem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_03115 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Theorems of Bertini and Chevalley Kollár, János Algebraic Geometry We give a short proof of Chevalley's theorem that every algebraic group is an extension of an Abelian variety by a linear algebraic group. Along the way we treat Bertini's irreducibility theorem. |
| title | Theorems of Bertini and Chevalley |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2605.03115 |