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Finiteness of the number of maximal open subsets with good quotients

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The aim of the paper is to prove the Main Theorem which says that, in any complex normal variety with an action of a reductive groupG, there are only finitely many subsets which are maximal in the family of all openG-invariant subsets admitting a good quotient.

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The author is in part supported by Polish KBN Grant 2 PO3A 038 08.

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Białynicki-Birula, A. Finiteness of the number of maximal open subsets with good quotients. Transformation Groups 3, 301–319 (1998). https://doi.org/10.1007/BF01234530

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  • DOI: https://doi.org/10.1007/BF01234530

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