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math.AG2002
Filtrations on the Chow groups and transcendence degree
Morihiko Saito
For a smooth complex projective variety X defined over a number field, we have filtrations on the Chow groups depending of the choice of realizations. If the realization consists o…
math.AG2002★ 1 cited
Hodge-type conjecture for higher Chow groups
Morihiko Saito
Let X be a smooth quasi-projective variety over the algebraic closure of the rational number field. We show that the cycle map of the higher Chow group to Deligne cohomology is inj…