Spectrum of equivariant cohomology as a fixed point scheme Hausel, Tamás ; https://orcid.org/0000-0002-9582-2634 Rychlewicz, Kamil P An action of a complex reductive group G on a smooth projective variety X is regular when all regular unipotent elements in G act with finitely many fixed points. Then the complex G-equivariant cohomology ring of X is isomorphic to the coordinate ring of a certain regular fixed point scheme. Examples include partial flag varieties, smooth Schubert varieties and Bott-Samelson varieties. We also show that a more general version of the fixed point scheme allows a generalisation to GKM spaces, such as toric varieties. 2022 info:eu-repo/semantics/preprint doc-type:preprint text http://purl.org/coar/resource_type/c_816b https://research-explorer.ista.ac.at/record/17157 Hausel T, Rychlewicz KP. Spectrum of equivariant cohomology as a fixed point scheme. <i>arXiv</i>. doi:<a href="https://doi.org/10.48550/arXiv.2212.11836">10.48550/arXiv.2212.11836</a> eng info:eu-repo/semantics/altIdentifier/doi/10.48550/arXiv.2212.11836 info:eu-repo/semantics/altIdentifier/arxiv/2212.11836 info:eu-repo/semantics/openAccess