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

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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 Mg​, 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.
DOI : 10.4171/dm/263
Classification : 14C25, 14D05, 14D20, 14D21
Mots-clés : equivariant Chow groups, orthogonal projectors 
Jaya Nn. Iyer; Stefan Müller-Stach. Chow-Künneth decomposition for some moduli spaces. Documenta mathematica, Tome 14 (2009), pp. 1-18. doi: 10.4171/dm/263
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     author = {Jaya Nn. Iyer and Stefan M\"uller-Stach},
     title = {Chow-K\"unneth decomposition for some moduli spaces},
     journal = {Documenta mathematica},
     pages = {1--18},
     year = {2009},
     volume = {14},
     doi = {10.4171/dm/263},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/263/}
}
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