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On the Stability of Diagonal Actions |
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| Authors: | Arzhantsev I. V. |
| Affiliation: | (1) M. V. Lomonosov Moscow State University, Russia |
| Abstract: | In the note it is proved that, for an arbitrary action of a semisimple group G on an affine variety X, there is a positive integer n such that the diagonal action  (m copies) is stable for any  . |
| Keywords: | semisimple group affine variety stable action generic orbit |
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