Bloch’s Conjecture and Chow Motives
نویسندگان
چکیده
Let X be a connected smooth projective complex surface. J. Murre [7] constructed a decomposition of Chow motives for X , i.e. there exist mutually orthogonal idempotents πi ∈ CH (X × X)Q as correspondences for 0 ≤ i ≤ 4 such that ∑ i πi is equal to the diagonal and the action of πi on H (X,Q) is the identity for i = j, and vanishes otherwise. The decomposition is not uniquely characterized by the above properties. See also [8]. The theory of Chow motives would be rather complicated if the following condition is not satisfied:
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تاریخ انتشار 2000