Jaya NN Iyer, Stefan Müller--Stach

摘要

In this paper we investigate Murre's conjecture on the Chow--Künneth decomposition for universal families of smooth curves over spaces which dominate the moduli space $cM_g$, in genus at most $8$ and show existence of a Chow--Künneth decomposition. This is done in the setting of equivariant cohomology and equivariant Chow groups to get equivariant Chow--Künneth decompositions.