Geodesic
Chow-Künneth decomposition for some moduli spaces
Documenta mathematica, Tome 14 (2009), pp. 1-18.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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.
Classification : 14C25, 14D05, 14D20, 14D21
Keywords: equivariant Chow groups, orthogonal projectors 
@article{DOCMA_2009__14__a27,
     author = {Iyer, Jaya Nn. and M\"uller-Stach, Stefan},
     title = {Chow-K\"unneth decomposition for some moduli spaces},
     journal = {Documenta mathematica},
     pages = {1--18},
     publisher = {mathdoc},
     volume = {14},
     year = {2009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DOCMA_2009__14__a27/}
}
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Iyer, Jaya Nn.; Müller-Stach, Stefan. Chow-Künneth decomposition for some moduli spaces. Documenta mathematica, Tome 14 (2009), pp. 1-18. http://geodesic.mathdoc.fr/item/DOCMA_2009__14__a27/