On the Spectrum of the Equivariant Cohomology Ring
Canadian journal of mathematics, Tome 62 (2010) no. 2, pp. 262-283

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If an algebraic torus $T$ acts on a complex projective algebraic variety $X$ , then the affine scheme $\text{Spec}\,H_{T}^{*}\left( X;\,\mathbb{C} \right)$ associated with the equivariant cohomology is often an arrangement of linear subspaces of the vector space $H_{2}^{T}\left( X;\,\mathbb{C} \right)$ . In many situations the ordinary cohomology ring of $X$ can be described in terms of this arrangement.
DOI : 10.4153/CJM-2010-016-4
Mots-clés : 14L30, 54H15
Goresky, Mark; MacPherson, Robert. On the Spectrum of the Equivariant Cohomology Ring. Canadian journal of mathematics, Tome 62 (2010) no. 2, pp. 262-283. doi: 10.4153/CJM-2010-016-4
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     title = {On the {Spectrum} of the {Equivariant} {Cohomology} {Ring}},
     journal = {Canadian journal of mathematics},
     pages = {262--283},
     year = {2010},
     volume = {62},
     number = {2},
     doi = {10.4153/CJM-2010-016-4},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-2010-016-4/}
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