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Funktsional'nyi Analiz i ego Prilozheniya, 2000, Volume 34, Issue 1, Pages 41–50
DOI: https://doi.org/10.4213/faa281 (Mi faa281) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On Fixed Points of Algebraic Actions on $\mathbb{C}^n$

P. I. Katsyloa, V. L. Popovb

a Independent University of Moscow
b Moscow State Institute of Electronics and Mathematics (Technical University)
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DOI: https://doi.org/10.4213/faa281
Abstract: It is shown that the action regarded for a rather long time by experts as a possible example disproving the conjecture on the existence of fixed points for reductive algebraic group actions on affine spaces is not an action on an affine variety, and therefore provides no example of this kind. Moreover, it is shown that the actions naturally related to the original one provide no examples of this kind as well.
Received: 01.09.1998
English version:
Functional Analysis and Its Applications, 2000, Volume 34, Issue 1, Pages 33–40
DOI: https://doi.org/10.1007/BF02467065
Bibliographic databases:
Document Type: Article
UDC: 512.743
Language: Russian
Citation: P. I. Katsylo, V. L. Popov, “On Fixed Points of Algebraic Actions on $\mathbb{C}^n$”, Funktsional. Anal. i Prilozhen., 34:1 (2000), 41–50; Funct. Anal. Appl., 34:1 (2000), 33–40
Citation in format AMSBIB
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\pages 41--50
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\pages 33--40
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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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    		Функциональный анализ и его приложения Functional Analysis and Its Applications
     
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