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

Jaya NN Iyer

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

Algebraic Geometry 2010-06-11 v4 Commutative Algebra

Authors: Jaya NN Iyer

Abstract

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.

Keywords

Chow-Künneth decomposition rational homogeneous bundles log homogeneous varieties Murre's conjecture smooth variety

Cite

@article{arxiv.0805.2048,
  title  = {Absolute Chow-Kuenneth decomposition for rational homogeneous bundles and for log homogeneous varieties},
  author = {Jaya NN Iyer},
  journal= {arXiv preprint arXiv:0805.2048},
  year   = {2010}
}

Comments

Final version, to appear

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

Abstract

Keywords

Cite

Comments

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