Murre's conjectures and explicit Chow--Kuenneth projectors for some varieties
Algebraic Geometry
2007-06-13 v1 Commutative Algebra
Abstract
In this paper, we investigate Murre's conjectures on the structure of rational Chow groups and exhibit explicit Chow--Kuenneth projectors for some examples. More precisely, the examples we study are the varieties which have a nef tangent bundle. For surfaces and threefolds which have a nef tangent bundle explicit Chow--Kuenneth projectors are obtained which satisfy Murre's conjectures and the motivic Hard Lefschetz theorem is verified.
Cite
@article{arxiv.0706.1566,
title = {Murre's conjectures and explicit Chow--Kuenneth projectors for some varieties},
author = {Jaya NN Iyer},
journal= {arXiv preprint arXiv:0706.1566},
year = {2007}
}