ML-invariant and automorphism groups of certain word varieties in SL(2,C)^2
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912801396621312 |
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| author | Bandman, Tatiana |
| author_facet | Bandman, Tatiana |
| contents | For a fixed element $g\in SL(2,C)$ and a word $w=[x^n,y^m]$ we consider the automorphism group $Aut(S_{g})$ of the affine threefold $S_{g}=\{(x,y)\in SL(2,C)^2 \ | w(x,y)=g\}.$ We prove that Makar-Limanov invariant $ML(S_{g})=\mathcal{O}(S_{g})$ and $Aut(S_{g})$ is Jordan. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_12126 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | ML-invariant and automorphism groups of certain word varieties in SL(2,C)^2 Bandman, Tatiana Algebraic Geometry Group Theory 14J50, 14L30, 14L35, 14R20, 14R25, 20G15 For a fixed element $g\in SL(2,C)$ and a word $w=[x^n,y^m]$ we consider the automorphism group $Aut(S_{g})$ of the affine threefold $S_{g}=\{(x,y)\in SL(2,C)^2 \ | w(x,y)=g\}.$ We prove that Makar-Limanov invariant $ML(S_{g})=\mathcal{O}(S_{g})$ and $Aut(S_{g})$ is Jordan. |
| title | ML-invariant and automorphism groups of certain word varieties in SL(2,C)^2 |
| topic | Algebraic Geometry Group Theory 14J50, 14L30, 14L35, 14R20, 14R25, 20G15 |
| url | https://arxiv.org/abs/2512.12126 |