\(\lambda\)-ring structures on the \(K\)-theory of algebraic stacks

DOI10.2140/akt.2024.9.519MaRDI QIDQ6623098

Roy Joshua, Pablo Pelaez

Publication date: 23 October 2024

Published in: Annals of \(K\)-Theory (Search for Journal in Brave)

zbMATH Keywords

\(K\)-theoryalgebraic stackslambda operations

Mathematics Subject Classification ID

(K)-theory of schemes (19E08) Applications of methods of algebraic (K)-theory in algebraic geometry (14C35) Stacks and moduli problems (14D23)

Cites Work

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• Chern classes and compatible power operations in inertial \(K\)-theory
• Cohomology of sheaves
• Homologie nicht-additiver Funktoren. Anwendungen
• Characters and cohomology of finite groups
• Bredon-style homology, cohomology and Riemann-Roch for algebraic stacks
• Exterior power operations on higher K-theory
• Equivariant resolution, linearization, and Hilbert's fourteenth problem over arbitrary base schemes
• The loop space of the Q-construction
• Intersection theory using Adams operations
• \(\lambda\)-structure en K-théorie algébrique
• Opérations d'Adams et représentations de groupes
• An un-delooped version of algebraic \(K\)-theory
• Adams operations and algebraic \(K\)-theory
• Riemann-Roch for equivariant Chow groups
• Comparison of equivariant algebraic and topological K-theory
• Operations in \(A\)-theory
• Ample families, multihomogeneous spectra, and algebraization of formal schemes.
• Unstable operations on \(K\)-theory for singular schemes
• Exterior power operations on higher \(K\)-groups via binary complexes
• Group representations, \(\lambda\)-rings and the \(J\)-homomorphism
• Groupes de Grothendieck des schemas en groupes reductifs deployes
• Algebraic spaces
• Complexe cotangent et déformations. I. (The cotangent complex and deformations. I.)
• Algebraic K-theory and higher Chow groups of linear varieties
• Brauer groups and quotient stacks
• K-Theory and G-Theory of DG-stacks
• Sheaves on Artin stacks
• Algebraic K -theory, A ¹ -homotopy and Riemann-Roch theorems
• The Grothendieck-Riemann-Roch theorem for group scheme actions
• The resolution property for schemes and stacks
• Algebraic 𝐾-theory via binary complexes
• Simplicial homotopy theory
• \(\mathbb{A}^1\)-homotopy theory of schemes
• Equivariant algebraic \(K\)-theory, \(G\)-theory and derived completions

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