# Absolute Chow-Kuenneth decomposition for rational homogeneous bundles and for log homogeneous varieties - Mathematics > Algebraic Geometry

Abstract: In this paper, we investigate Murre-s conjecture on the existence of aChow-Kuenneth decomposition for a rational homogeneous bundle $Z\to S$ over asmooth variety, defined over complex numbers. Chow-K\-unneth decomposition isexhibited for $Z$ whenever $S$ has a Chow-Kuenneth decomposition. The sameconclusion holds for a class of log homogeneous varieties, studied by M. Brion.

Author: Jaya NN Iyer

Source: https://arxiv.org/