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On the moment measure conjecture

Białynicki-Birula A.

Bulletin of the Polish Academy of Sciences. Mathematics

2002

Vol. 50, no 1

33-40

The main purpose of the paper is to give a characterization of such open invariant subsets U of projective spaces with an action of a torus T, which admit a good quotient U --> U//T and the quotient space is compact. It follows from the result that moment measure conjecture (stated in [4]) is valid in the case of projective spaces (and their products).