Motives of uniruled 3-folds

DOI10.1023/A:1000333002671zbMath0921.14026arXivalg-geom/9607023OpenAlexW2138008143MaRDI QIDQ4392794

Pedro Luis Del Angel, Stefan Müller-Stach

Publication date: 4 August 1998

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

Full work available at URL: https://arxiv.org/abs/alg-geom/9607023

zbMATH Keywords

Chow groupsmotivesconic bundleChow-Künneth decompositionMurre's conjecturesuniruled 3-fold

Mathematics Subject Classification ID

Parametrization (Chow and Hilbert schemes) (14C05) (3)-folds (14J30) Generalizations (algebraic spaces, stacks) (14A20)

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Relative Chow–Künneth decompositions for morphisms of threefolds, Künneth decompositions for quotient varieties, Chow–Künneth decomposition for 3- and 4-folds fibred by varieties with trivial Chow group of zero-cycles, Derived categories and rationality of conic bundles, Remarks on Murre's conjecture on Chow groups, Absolute Chow-Künneth decomposition for rational homogeneous bundles and for log homogeneous varieties, Motives of quadric bundles, Murre’s conjectures and explicit Chow–Künneth projectors for varieties with a nef tangent bundle