The Grothendieck-Riemann-Roch theorem for group scheme actions

DOI10.1016/S0012-9593(98)80140-7zbMath0951.14029MaRDI QIDQ4400262

Bernhard Köck

Publication date: 8 October 1998

Published in: Annales Scientifiques de l’École Normale Supérieure (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=ASENS_1998_4_31_3_415_0

zbMATH Keywords

group scheme actionsTodd classequivariant geometryequivariant Adam-Riemann-Roch formulaequivariant Grothendieck-Riemann-Roch formula

Mathematics Subject Classification ID

Group actions on varieties or schemes (quotients) (14L30) Riemann-Roch theorems (14C40) Relations of (K)-theory with cohomology theories (19E20) Applications of methods of algebraic (K)-theory in algebraic geometry (14C35)

Related Items (14)

Unnamed Item ⋮ On the Adams-Riemann-Roch theorem in positive characteristic ⋮ Atiyah-Segal theorem for Deligne-Mumford stacks and applications ⋮ Computing the homology of Koszul complexes ⋮ Canonical key formula for projective abelian schemes ⋮ Galois structure of homogeneous coordinate rings ⋮ Unstable operations on \(K\)-theory for singular schemes ⋮ Galois actions on Néron models of Jacobians ⋮ Uniqueness of equivariant singular Bott-Chern classes ⋮ Logarithmic trace and orbifold products ⋮ Equivariant Grothendieck-Riemann-Roch and localization in operational \(K\)-theory. With an appendix by Gabriele Vezzosi. ⋮ Rigidity for equivariant pseudo pretheories ⋮ Riemann-Roch for equivariant Chow groups ⋮ Orbifold products for higher \(K\)-theory and motivic cohomology

Cites Work

• Unnamed Item
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• Unnamed Item
• The \(K\)-groups of a blow-up scheme and an excess intersection formula
• Characters and cohomology of finite groups
• T-equivariant K-theory of generalized flag varieties
• Exterior power operations on higher K-theory
• Opérations d'Adams et groupe des classes d'algèbre de groupe. (Adams operations and class groups of group algebras)
• Characteristic classes of direct image bundles for covering maps
• The nil Hecke ring and cohomology of \(G/P\) for a Kac-Moody group \(G\)
• Lefschetz-Riemann-Roch theorem and coherent trace formula
• \(\lambda\)-structure en K-théorie algébrique
• Grothendieck groups of Abelian group rings
• lambda-rings and algebraic K-theory
• Chow motif and higher Chow theory of \(G/P\)
• Higher \(K'\)-groups of integral group rings
• A Lefschetz formula in equivariant algebraic \(K\)-theory
• Equivariant completion. II
• Opérations d'Adams en théorie des représentations linéaires des groupes finis
• Operations on locally free classgroups
• The \(K\)-theory of a toric variety
• Shuffle products in higher \(K\)-theory
• Group representations, \(\lambda\)-rings and the \(J\)-homomorphism
• Séminaire de géométrie algébrique du Bois Marie 1966/67, SGA 6.Dirigé par P. Berthelot, A. Grothendieck et L. Illusie, Avec la collaboration de D. Ferrand, J. P. Jouanolou, O. Jussilia, S. Kleiman, M. Raynaud et J. P. Serre. Théorie des intersections et théorème de Riemann-Roch
• Das Adams-Riemann-Roch-Theorem in der höheren äquivarianten K-Theorie.
• Opérations En K-Théorie Algébrique
• Absolute cohomological purity
• The Lefschetz Theorem in Higher EquivariantK-theory
• Higher algebraic K-theory: I
• Désingularisation des variétés de Schubert généralisées
• Adams operations for projective modules over group rings
• Localization in equivariant intersection theory and the Bott residue formula
• Adams operations and integral Hermitian-Galois representations
• LECTURES ON THEK-FUNCTOR IN ALGEBRAIC GEOMETRY

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