Chow--Kuenneth decomposition for special varieties
Algebraic Geometry
2014-10-24 v1 Commutative Algebra
Abstract
In this paper we investigate Murre's conjecture on the Chow--K\"unneth decomposition for two classes of examples. We look at the universal families of smooth curves over spaces which dominate the moduli space , in genus at most 8 and show existence of a Chow--K\"unneth decomposition. The second class of examples include the representation varieties of a finitely generated group with one relation. This is done in the setting of equivariant cohomology and equivariant Chow groups to get equivariant Chow--K\"unneth decompositions.
Cite
@article{arxiv.0710.4002,
title = {Chow--Kuenneth decomposition for special varieties},
author = {Jaya NN Iyer and Stefan Müller-Stach},
journal= {arXiv preprint arXiv:0710.4002},
year = {2014}
}