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Niveau and coniveau filtrations on cohomology groups and Chow groups

Niveau and coniveau filtrations on cohomology groups and Chow groups

The Bloch-Beilinson-Murre conjectures predict the existence of a descending filtration on Chow groups of smooth projective varieties which is functorial with respect to the action of correspondences and whose graded parts depend solely on the topology -- i.e. the cohomology -- of $X$. In this paper, we wish to explore, …