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Intersection homology and torus actions

By Frances Kirwan


It is well known that the homology of a nonsingular complex projective variety X with a C * action is determined by the homology of the connected components F 1, •• •,F [ of the fixed point set Xc · and the action of C * near xC ". In fact there are isomorphisms (0.1) Hj(X;Z) ~ E9 H i _ 2m,(F,/;Z), I~'/~[ where m, / is the complex codimension of the stratu

Year: 1988
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