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

2008/05/14 by Jaya Nn Iyer, Iyer, Jaya NN
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.0805.2048

openalex publication_date 2008/05/14 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28

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-Künneth 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.

Citations

• On a conjectural filtration on the Chow groups of an algebraic variety
• Log homogeneous varieties

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• Rationality and Chow-Kuenneth decompositions for some moduli stacks of curves
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• Birational Chow-Künneth decompositions