On the cohomology and the Chow ring of the classifying space of PGL p

DOI10.1515/CRELLE.2007.071zbMath1145.14011arXivmath/0505052OpenAlexW1982169538MaRDI QIDQ5387210

Angelo Vistoli

Publication date: 8 May 2008

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0505052

zbMATH Keywords

classifying spacecohomologyChow ringprojective linear group

Mathematics Subject Classification ID

Algebraic cycles (14C25)

Related Items (14)

On the Chow ring of the classifying stack of algebraic tori ⋮ The 𝑝-primary subgroups of the cohomology of 𝐵𝑃𝑈_{𝑛} in dimensions less than 2𝑝+5 ⋮ Oriented cohomology sheaves on double moment graphs ⋮ The Chow ring of the classifying space \(\mathrm{BSO}(2n,\mathbb C)\) ⋮ On the integral Tate conjecture over finite fields ⋮ Chow rings of nonabelian \(p\)-groups of order \(p^{3}\) ⋮ The \(\mathbb G_{m}\)-equivariant motivic cohomology of Stiefel varieties ⋮ On the cohomology of the classifying spaces of projective unitary groups ⋮ The étale cohomology of the general linear group over a finite field and the Dickson algebra ⋮ The image of the map from group cohomology to Galois cohomology ⋮ The complex cobordism of \(BSO_n\) ⋮ Twists over étale groupoids and twisted vector bundles ⋮ Chern subrings ⋮ Some torsion classes in the Chow ring and cohomology of BPGLn

Cites Work

• On the cohomology of the classifying spaces of PSU (4n+2) and PO (4n+2)
• Equivariant intersection theory (With an appendix by Angelo Vistoli: The Chow ring of \({\mathcal M}_2\))
• Steenrod operations on the Chow ring of a classifying space
• Applications of Atiyah–Hirzebruch spectral sequences for motivic cobordism
• Chow rings and cobordism of some Chevalley groups

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