Absolute Chow-Kuenneth decomposition for rational homogeneous bundles and for log homogeneous varieties
Abstract
In this paper, we investigate Murre's conjecture on the existence of a Chow--Kuenneth decomposition for a rational homogeneous bundle Z 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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