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Motivic Complexes over Finite Fields and the Ring of Correspondences at the Generic Point
Already in the 1960s Grothendieck understood that one could obtain an almost entirely satisfactory theory of motives over a finite field when one assumes the full Tate conjecture.In this note we prove a similar result for motivic complexes.In particular Beilinson's Q-algebra of "correspondences at the generic point" is then defined …