For regular G-actions on smooth projective X, the G-equivariant cohomology ring of X is isomorphic to the coordinate ring of a regular fixed point scheme.
Tome III: Th´ eor` emes G´ en´ eraux sur les Alg` ebres de Lie
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Spectrum of equivariant cohomology as a fixed point scheme
For regular G-actions on smooth projective X, the G-equivariant cohomology ring of X is isomorphic to the coordinate ring of a regular fixed point scheme.