Chow motif and higher Chow theory of \(G/P\)

DOI10.1007/BF02568384zbMath0735.14001OpenAlexW2057315799MaRDI QIDQ1174538

Bernhard Köck

Publication date: 25 June 1992

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155595

zbMATH Keywords

homogeneous spacehigher Chow groupsBruhat decompositionChow motifGrassmannian of d-planesLefschetz motifTate motif

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Parametrization (Chow and Hilbert schemes) (14C05) Generalizations (algebraic spaces, stacks) (14A20)

Related Items (26)

Reduced Steenrod operations and resolution of singularities ⋮ Dirichlet motives via modular curves ⋮ Motivic rigidity of Severi-Brauer varieties ⋮ A remark on connective \(K\)-theory ⋮ Équivalence motivique des groupes algébriques semisimples ⋮ Motivic invariants of birational maps ⋮ Additive higher Chow groups of schemes ⋮ On the Chow motive of some moduli spaces ⋮ Motivic Steenrod operations in characteristicp ⋮ Quantum cohomology of minuscule homogeneous spaces ⋮ Betti numbers and pseudoeffective cones in 2-Fano varieties ⋮ Generically split projective homogeneous varieties ⋮ Absolute Chow-Künneth decomposition for rational homogeneous bundles and for log homogeneous varieties ⋮ On motivic decompositions arising from the method of Białynicki-Birula ⋮ Weil transfer of algebraic cycles. ⋮ The Grothendieck-Riemann-Roch theorem for group scheme actions ⋮ Motivic decomposition of isotropic projective homogeneous varieties ⋮ A bound for canonical dimension of the (semi)spinor groups ⋮ Motivic decomposition of anisotropic varieties of type F₄into generalized Rost motives ⋮ Motives of quadric bundles ⋮ Murre’s conjectures and explicit Chow–Künneth projectors for varieties with a nef tangent bundle ⋮ Hasse diagrams and motives of projective homogeneous varieties ⋮ \(J\)-invariant of Hermitian forms over quadratic extensions ⋮ Equivariant motives ⋮ IRREDUCIBILITY OF $\overline{M}_{0,n}(G/P,\beta)$ ⋮ Twisted Witt Groups of Flag Varieties

Cites Work

• Algebraic cycles and higher K-theory
• Higher algebraic K-theory: I
• Gersten's conjecture and the homology of schemes
• Désingularisation des variétés de Schubert généralisées
• Anneaux de Grothendieck des variétés de drapeaux
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