Extensions Of Unirational Groups
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866918303332564992 |
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| author | Rosengarten, Zev |
| author_facet | Rosengarten, Zev |
| contents | We undertake a study of extensions of unirational algebraic groups. We prove that extensions of unirational groups are also unirational over fields of degree of imperfection $1$, but that this fails over every field of higher degree of imperfection, answering a question of Achet. We also initiate a study of those groups which admit filtrations with unirational graded pieces, and show that one may deduce unirationality of unipotent groups from unirationality of certain quotients. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_00391 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Extensions Of Unirational Groups Rosengarten, Zev Algebraic Geometry We undertake a study of extensions of unirational algebraic groups. We prove that extensions of unirational groups are also unirational over fields of degree of imperfection $1$, but that this fails over every field of higher degree of imperfection, answering a question of Achet. We also initiate a study of those groups which admit filtrations with unirational graded pieces, and show that one may deduce unirationality of unipotent groups from unirationality of certain quotients. |
| title | Extensions Of Unirational Groups |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2510.00391 |