Isotropy subgroups of homogeneous locally nilpotent derivations
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866918430072897536 |
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| author | Chunaev, Dmitriy Evdokimova, Polina |
| author_facet | Chunaev, Dmitriy Evdokimova, Polina |
| contents | We say that a locally nilpotent derivations $δ$ is maximal if there are no inequivalent locally nilpotent derivations that commute with $δ$. The paper gives a description of isotropy groups of maximal homogeneous locally nilpotent derivations on affine toric varieties and on certain trinomial hypersurfaces. Moreover, the criteria for homogeneous locally nilpotent derivations to be maximal were obtained for these classes of varieties. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_04762 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Isotropy subgroups of homogeneous locally nilpotent derivations Chunaev, Dmitriy Evdokimova, Polina Algebraic Geometry 14R20, 13N15 (Primary), 13A50, 14L30 (Secondary) We say that a locally nilpotent derivations $δ$ is maximal if there are no inequivalent locally nilpotent derivations that commute with $δ$. The paper gives a description of isotropy groups of maximal homogeneous locally nilpotent derivations on affine toric varieties and on certain trinomial hypersurfaces. Moreover, the criteria for homogeneous locally nilpotent derivations to be maximal were obtained for these classes of varieties. |
| title | Isotropy subgroups of homogeneous locally nilpotent derivations |
| topic | Algebraic Geometry 14R20, 13N15 (Primary), 13A50, 14L30 (Secondary) |
| url | https://arxiv.org/abs/2604.04762 |