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Matematicheskie Zametki, 2002, Volume 71, Issue 6, Pages 803–806
DOI: https://doi.org/10.4213/mzm385 (Mi mzm385) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On the Stability of Diagonal Actions

I. V. Arzhantsev

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (161 kB) Citations (1)
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DOI: https://doi.org/10.4213/mzm385
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 $G:X\times X\times\dotsb\times X$ ($m$ copies) is stable for any $m\ge n$.
Received: 26.07.2001
English version:
Mathematical Notes, 2002, Volume 71, Issue 6, Pages 735–738
DOI: https://doi.org/10.1023/A:1015808526128
Bibliographic databases:
UDC: 512.74
Language: Russian
Citation: I. V. Arzhantsev, “On the Stability of Diagonal Actions”, Mat. Zametki, 71:6 (2002), 803–806; Math. Notes, 71:6 (2002), 735–738
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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