Automorphism group of flag varieties with non-reduced stabilizer
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866913929604628480 |
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| author | Maccan, Matilde |
| author_facet | Maccan, Matilde |
| contents | We consider rational projective homogeneous varieties over an algebraically closed field of positive characteristic, namely quotients of a semi-simple group by a possibly non-reduced parabolic subgroup. We determine the group scheme structure of the neutral component of their automorphism group, generalizing the classical result of Demazure on automorphism groups of flag varieties. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_04549 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Automorphism group of flag varieties with non-reduced stabilizer Maccan, Matilde Algebraic Geometry 14M15, 14L15, 14L30, 17B20 We consider rational projective homogeneous varieties over an algebraically closed field of positive characteristic, namely quotients of a semi-simple group by a possibly non-reduced parabolic subgroup. We determine the group scheme structure of the neutral component of their automorphism group, generalizing the classical result of Demazure on automorphism groups of flag varieties. |
| title | Automorphism group of flag varieties with non-reduced stabilizer |
| topic | Algebraic Geometry 14M15, 14L15, 14L30, 17B20 |
| url | https://arxiv.org/abs/2507.04549 |