Algebraic cycles and fibrations
Copyright policy )Algebraic cycles and fibrations
Let f:X \rightarrow B be a projective surjective morphism between quasi-projective varieties. The goal of this paper is the study of the Chow groups of X in terms of the Chow groups of B and of the fibres of f . One of the applications concerns quadric bundles. When X and B are smooth projective and when f is a flat quadric fibration, we show that the Chow motive of X is «built» from the motives of varieties of dimension less than the dimension of B .
- University of Cambridge United Kingdom
quadric bundles, Algebraic cycles, 14C15, 14C25, 14C05, 14D99, Parametrization (Chow and Hilbert schemes), Fibrations, degenerations in algebraic geometry, algebraic cycles, Mathematics - Algebraic Geometry, motives, (Equivariant) Chow groups and rings; motives, FOS: Mathematics, Chow groups, Chow-Künneth decomposition, Algebraic Geometry (math.AG)
quadric bundles, Algebraic cycles, 14C15, 14C25, 14C05, 14D99, Parametrization (Chow and Hilbert schemes), Fibrations, degenerations in algebraic geometry, algebraic cycles, Mathematics - Algebraic Geometry, motives, (Equivariant) Chow groups and rings; motives, FOS: Mathematics, Chow groups, Chow-Künneth decomposition, Algebraic Geometry (math.AG)
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