Absolute Chow-Kuenneth decomposition for rational homogeneous bundles and for log homogeneous varieties

Details Absolute Chow-Kuenneth decomposition for rational homogeneous bundles and for log homogeneous varieties Absolute Chow-Kuenneth decomposition for rational homogeneous bundles and for log homogeneous varieties

2008-05-14

arxiv.org/abs/0805.2048v4

Mathematics

Algebraic Geometry

Final version, to appear

Scientific paper

In this paper, we investigate Murre's conjecture on the existence of a
Chow--Kuenneth decomposition for a rational homogeneous bundle $Z\to S$ over a
smooth variety, defined over complex numbers. Chow-K\"unneth decomposition is
exhibited for $Z$ whenever $S$ has a Chow--Kuenneth decomposition. The same
conclusion holds for a class of log homogeneous varieties, studied by M. Brion.

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