Algebraic cycles and completions of equivariant \(K\)-theory

DOI10.1215/00127094-2008-042zbMath1148.14007arXivmath/0702671OpenAlexW2061361849MaRDI QIDQ943565

Dan Edidin, William A. Graham

Publication date: 9 September 2008

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0702671

Mathematics Subject Classification ID

Group actions on varieties or schemes (quotients) (14L30) Riemann-Roch theorems (14C40) Algebraic (K)-theory of spaces (19D10)

Related Items (6)

Localization in equivariant operational \(K\)-theory and the Chang-Skjelbred property ⋮ Algebraic torus actions on contact manifolds ⋮ Atiyah-Segal theorem for Deligne-Mumford stacks and applications ⋮ Logarithmic trace and orbifold products ⋮ Strong regular embeddings of Deligne-Mumford stacks and hypertoric geometry ⋮ Virtual equivariant Grothendieck-Riemann-Roch formula

Cites Work

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• Lefschetz-Riemann-Roch theorem and coherent trace formula
• A Lefschetz formula in equivariant algebraic \(K\)-theory
• Riemann-Roch for singular varieties
• Canonical desingularization in characteristic zero by blowing up the maximum strata of a local invariant
• Equivariant intersection theory (With an appendix by Angelo Vistoli: The Chow ring of \({\mathcal M}_2\))
• Equivariant completion
• Riemann-Roch for equivariant Chow groups
• Riemann-Roch theorems for Deligne-Mumford stacks
• Higher algebraic \(K\)-theory of group actions with finite stabilizers
• Groupes de Grothendieck des schemas en groupes reductifs deployes
• Equivariant K-theory
• Algebraic spaces
• Nonabelian localization in equivariant \(K\)-theory and Riemann --- Roch for quotients
• Riemann-Roch for general algebraic varieties
• Diagonalizably linearized coherent sheaves
• Projective Representation of Algebraic Linear Groups of Transformations

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