Infinite transitivity, finite generation, and Demazure roots
| Autor: | Arzhantsev, I, Kuyumzhiyan, K, Zaidenberg, M |
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| Rok vydání: | 2018 |
| Předmět: | |
| Zdroj: | Adv. Math. 351 (2019), 1-32 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1016/j.aim.2019.05.006 |
| Popis: | An affine algebraic variety X of dimension at least 2 is called flexible if the subgroup SAut(X) in Aut(X) generated by the one-parameter unipotent subgroups acts m-transitively on reg(X) for any m $\ge$ 1. In the previous paper we proved that any nondegenerate toric affine variety X is flexible. In the present paper we show that one can find a subgroup of SAut(X) generated by a finite number of one-parameter unipotent subgroups which has the same transitivity property, provided the toric variety X is smooth in codimension 2. For X=$\mathbb{A}^n$ with n$\ge$2, three such subgroups suffice. Comment: 25 pages |
| Databáze: | arXiv |
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